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Helices and Vector Bundles: Seminaire Rudakov
ISBN: 9780521388115 / Angielski / Miękka / 152 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. This volume is devoted to the use of helices as a method for studying exceptional vector bundles, an important and natural concept in algebraic geometry. The work arises out of a series of seminars organized in Moscow by A.N. Rudakov. The first article sets up the general machinery, and later ones explore its use in various contexts. As to be expected, the approach is concrete; the theory is considered for quadrics, ruled surfaces, K3 surfaces and PP DEGREE
This volume is devoted to the use of helices as a method for studying exceptional vector bundles, an important and natural concept in algebraic geomet...
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cena:
192,98 zł |
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Classification Theory of Polarized Varieties
ISBN: 9780521392020 / Angielski / Miękka / 220 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. Using techniques from abstract algebraic geometry that have been developed over recent decades, Professor Fujita develops classification theories of such pairs using invariants that are polarized higher-dimensional versions of the genus of algebraic curves. The heart of the book is the theory of D-genus and sectional genus developed by the author, but numerous related topics are discussed or surveyed. Proofs are given in full in the central part of the development, but background and technical results are sometimes sketched in when the details are not essential for understanding the key...
Using techniques from abstract algebraic geometry that have been developed over recent decades, Professor Fujita develops classification theories of s...
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cena:
192,98 zł |
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The Geometry and Physics of Knots
ISBN: 9780521395540 / Angielski / Miękka / 108 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. Deals with an area of research that lies at the crossroads of mathematics and physics. The material presented here rests primarily on the pioneering work of Vaughan Jones and Edward Witten relating polynomial invariants of knots to a topological quantum field theory in 2+1 dimensions. Professor Atiyah presents an introduction to Witten's ideas from the mathematical point of view. The book will be essential reading for all geometers and gauge theorists as an exposition of new and interesting ideas in a rapidly developing area.
Deals with an area of research that lies at the crossroads of mathematics and physics. The material presented here rests primarily on the pioneering w...
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cena:
158,58 zł |
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Kummer's Quartic Surface
ISBN: 9780521397902 / Angielski / Miękka / 252 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. The theory of surfaces has reached a certain stage of completeness and major efforts concentrate on solving concrete questions rather than further developing the formal theory. Many of these questions are touched on in this classic volume: such as the classification of quartic surfaces, the description of moduli spaces for abelian surfaces, and the automorphism group of a Kummer surface. First printed in 1905 after the untimely death of the author, this work has stood for most of this century as one of the classic reference works in geometry.
The theory of surfaces has reached a certain stage of completeness and major efforts concentrate on solving concrete questions rather than further dev...
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cena:
251,95 zł |
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Geometry of Low-Dimensional Manifolds: Volume 1, Gauge Theory and Algebraic Surfaces
ISBN: 9780521399784 / Angielski / Miękka / 276 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. These volumes are based on lecture courses and seminars given at the LMS Durham Symposium on the geometry of low-dimensional manifolds. This area has been one of intense research recently, with major breakthroughs that have illuminated the way a number of different subjects (topology, differential and algebraic geometry and mathematical physics) interact.
These volumes are based on lecture courses and seminars given at the LMS Durham Symposium on the geometry of low-dimensional manifolds. This area has ...
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cena:
212,64 zł |
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Geometry of Low-Dimensional Manifolds: 2: Symplectic Manifolds and Jones-Witten Theory
ISBN: 9780521400015 / Angielski / Miękka / 260 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. These volumes are based on lecture courses and seminars given at the LMS Durham Symposium on the geometry of low-dimensional manifolds. This area has been one of intense research recently, with major breakthroughs that have illuminated the way a number of different subjects (topology, differential and algebraic geometry and mathematical physics) interact.
These volumes are based on lecture courses and seminars given at the LMS Durham Symposium on the geometry of low-dimensional manifolds. This area has ...
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cena:
291,26 zł |
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Geometry of Sporadic Groups: Volume 1, Petersen and Tilde Geometries
ISBN: 9780521413626 / Angielski / Twarda / 424 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. This book is the first volume in a two-volume set, which will provide the complete proof of classification of two important classes of geometries, closely related to each other: Petersen and tilde geometries. There is an infinite family of tilde geometries associated with nonsplit extensions of symplectic groups over a field of two elements. Besides that there are twelve exceptional Petersen and tilde geometries. These exceptional geometries are related to sporadic simple groups, including the famous Monster group and this volume gives a construction for each of the Petersen and tilde...
This book is the first volume in a two-volume set, which will provide the complete proof of classification of two important classes of geometries, clo...
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cena:
640,21 zł |
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Algebraic L-Theory and Topological Manifolds
ISBN: 9780521420242 / Angielski / Twarda / 372 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. This book presents the definitive account of the applications of this algebra to the surgery classification of topological manifolds. The central result is the identification of a manifold structure in the homotopy type of a Poincare duality space with a local quadratic structure in the chain homotopy type of the universal cover. The difference between the homotopy types of manifolds and Poincare duality spaces is identified with the fibre of the algebraic L-theory assembly map, which passes from local to global quadratic duality structures on chain complexes. The algebraic L-theory assembly...
This book presents the definitive account of the applications of this algebra to the surgery classification of topological manifolds. The central resu...
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cena:
640,21 zł |
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Adams Memorial Symposium on Algebraic Topology: Volume 1
ISBN: 9780521420747 / Angielski / Miękka / 320 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. J. Frank Adams had a profound influence on algebraic topology, and his works continue to shape its development. The International Symposium on Algebraic Topology held in Manchester during July 1990 was dedicated to his memory, and virtually all of the world's leading experts took part. This two-volume work constitutes the proceedings of the symposium. The articles contained here range from overviews to reports of work still in progress, as well as a survey and complete bibliography of Adams' own work. These proceedings form an important compendium of current research in algebraic topology,...
J. Frank Adams had a profound influence on algebraic topology, and his works continue to shape its development. The International Symposium on Algebra...
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cena:
296,17 zł |
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Adams Memorial Symposium on Algebraic Topology: Volume 2
ISBN: 9780521421539 / Angielski / Miękka / 332 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. J. Frank Adams had a profound influence on algebraic topology, and his work continues to shape its development. The International Symposium on Algebraic Topology held in Manchester during July 1990 was dedicated to his memory, and virtually all of the world's leading experts took part. This two volume work constitutes the proceedings of the symposium; the articles contained here range from overviews to reports of work still in progress, as well as a survey and complete bibliography of Adam's own work. These proceedings form an important compendium of current research in algebraic topology,...
J. Frank Adams had a profound influence on algebraic topology, and his work continues to shape its development. The International Symposium on Algebra...
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cena:
296,17 zł |
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Lower K-& L-Theory
ISBN: 9780521438018 / Angielski / Miękka / 184 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. This is the first treatment in book form of the applications of the lower K- and L-groups (which are the components of the Grothendieck groups of modules and quadratic forms over polynomial extension rings) to the topology of manifolds such as Euclidean spaces, via Whitehead torsion and the Wall finiteness and surgery obstructions. The author uses only elementary constructions and gives a full algebraic account of the groups involved; of particular note is an algebraic treatment of geometric transversality for maps to the circle.
This is the first treatment in book form of the applications of the lower K- and L-groups (which are the components of the Grothendieck groups of modu...
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cena:
212,64 zł |
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Symplectic Fibrations and Multiplicity Diagrams
ISBN: 9780521443234 / Angielski / Twarda / 240 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. Multiplicity diagrams can be viewed as schemes for describing the phenomenon of "symmetry breaking" in quantum physics. The subject of this book is the multiplicity diagrams associated with the classical groups U(n), O(n), etc. It presents such topics as asymptotic distributions of multiplicities, hierarchical patterns in multiplicity diagrams, lacunae, and the multiplicity diagrams of the rank 2 and rank 3 groups. The authors take a novel approach, using the techniques of symplectic geometry. The book develops in detail some themes which were touched on in the highly successful Symplectic...
Multiplicity diagrams can be viewed as schemes for describing the phenomenon of "symmetry breaking" in quantum physics. The subject of this book is th...
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cena:
551,75 zł |
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Two-Dimensional Homotopy and Combinatorial Group Theory
ISBN: 9780521447003 / Angielski / Miękka / 428 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. The geometric and algebraic aspects of two-dimensional homotopy theory are both important areas of current research. Basic work on two-dimensional homotopy theory dates back to Reidemeister and Whitehead. The contributors to this book consider the current state of research beginning with introductory chapters on low-dimensional topology and covering crossmodules, Peiffer-Reid identities, and concretely discussing P2 theory. The chapters have been skillfully woven together to form a coherent picture, and the geometric nature of the subject is illustrated by over 100 diagrams. The final...
The geometric and algebraic aspects of two-dimensional homotopy theory are both important areas of current research. Basic work on two-dimensional hom...
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cena:
276,52 zł |
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Finite Geometry and Combinatorics
ISBN: 9780521448505 / Angielski / Miękka / 424 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. This is a collection of thirty-five articles, covering topics such as finite projective spaces, generalized polygons, strongly regular graphs, diagram geometries, and polar spaces. Contained here are articles from many of the leading practitioners in the field including, for the first time, several distinguished Russian mathematicians. Many of the papers contain important new results and the growing use of computer algebra packages in this area is also demonstrated.
This is a collection of thirty-five articles, covering topics such as finite projective spaces, generalized polygons, strongly regular graphs, diagram...
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cena:
276,52 zł |
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The Algebraic Characterization of Geometric 4-Manifolds
ISBN: 9780521467780 / Angielski / Miękka / 184 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. This book describes work on the characterization of closed 4-manifolds in terms of familiar invariants such as Euler characteristic, fundamental group, and Stiefel-Whitney classes. Using techniques from homological group theory, the theory of 3-manifolds and topological surgery, infrasolvmanifolds are characterized up to homeomorphism, and surface bundles are characterized up to simple homotopy equivalence. Non-orientable cases are also considered wherever possible, and in the final chapter the results obtained earlier are applied to 2-knots and complex analytic surfaces.
This book describes work on the characterization of closed 4-manifolds in terms of familiar invariants such as Euler characteristic, fundamental group...
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cena:
237,21 zł |
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Groups of Lie Type and Their Geometries
ISBN: 9780521467902 / Angielski / Miękka / 320 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. This book contains papers presented at the 1993 Como meeting on groups of Lie type and their geometries. Themes represented here include: subgroups of finite and algebraic groups, buildings and other geometries associated to groups of Lie type or Coxeter groups, generation, and applications. This book will be a necessary addition to the library of all researchers in group theory and related areas.
This book contains papers presented at the 1993 Como meeting on groups of Lie type and their geometries. Themes represented here include: subgroups of...
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cena:
296,17 zł |
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An Algebraic Introduction to Complex Projective Geometry: Commutative Algebra
ISBN: 9780521480727 / Angielski / Twarda / 244 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. In this introduction to commutative algebra, the author choses a route that leads the reader through the essential ideas, without getting embroiled in technicalities. He takes the reader quickly to the fundamentals of complex projective geometry, requiring only a basic knowledge of linear and multilinear algebra and some elementary group theory. The author divides the book into three parts. In the first, he develops the general theory of noetherian rings and modules. He includes a certain amount of homological algebra, and he emphasizes rings and modules of fractions as preparation for...
In this introduction to commutative algebra, the author choses a route that leads the reader through the essential ideas, without getting embroiled in...
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cena:
595,98 zł |
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Geometry of Constrained Dynamical Systems
ISBN: 9780521482714 / Angielski / Twarda / 352 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. Many fundamental theories of modern physics can be considered as descriptions of dynamical systems subjected to constraints. The study of these constrained dynamical systems, and in particular the problems of formulating them as quantum systems, has many profound links with geometry. These links were explored in the Symposium on Geometry and Gravity held at the Newton Institute in 1994. This book, which arose from a conference held during that symposium, is a collection of papers devoted to problems such as Chern-Simons theory, sigma-models, gauge invariance and loop quantization, general...
Many fundamental theories of modern physics can be considered as descriptions of dynamical systems subjected to constraints. The study of these constr...
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cena:
620,55 zł |
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Novikov Conjectures, Index Theorems, and Rigidity: Volume 2
ISBN: 9780521497954 / Angielski / Miękka / 376 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. The Novikov Conjecture is the single most important unsolved problem in the topology of high-dimensional non-simply connected manifolds. These two volumes are the outgrowth of a conference held at the Mathematisches Forschungsinstitut Oberwolfach (Germany) in September, 1993, on the subject of Novikov Conjectures, Index Theorems and Rigidity'. They are intended to give a snapshot of the status of work on the Novikov Conjecture and related topics from many points of view: geometric topology, homotopy theory, algebra, geometry, analysis.
The Novikov Conjecture is the single most important unsolved problem in the topology of high-dimensional non-simply connected manifolds. These two vol...
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cena:
256,86 zł |
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Novikov Conjectures, Index Theorems, and Rigidity: Volume 1: Oberwolfach 1993
ISBN: 9780521497961 / Angielski / Miękka / 384 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. The Novikov conjecture is the single most important unsolved problem in the topology of high-dimensional non-simply connected manifolds. These two volumes give a snapshot of the status of work on the Novikov conjecture and related topics from many points of view: geometric topology, homotopy theory, algebra, geometry, and analysis. Volume 1 contains a detailed historical survey and bibliography of the Novikov conjecture and of related subsequent developments, including an annotated reprint (both in the original Russian and in English translation) of Novikov's original 1970 statement of his...
The Novikov conjecture is the single most important unsolved problem in the topology of high-dimensional non-simply connected manifolds. These two vol...
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cena:
212,64 zł |
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