The guiding principle in this book is to use differential forms as an aid in exploring some of the less digestible aspects of algebraic topology. Accord- ingly, we move primarily in the realm of smooth manifolds and use the de Rham theory as a prototype of all of cohomology. For applications to homotopy theory we also discuss by way of analogy cohomology with arbitrary coefficients. Although we have in mind an audience with prior exposure to algebraic or differential topology, for the most part a good knowledge of linear algebra, advanced calculus, and point-set topology should suffice. Some...
The guiding principle in this book is to use differential forms as an aid in exploring some of the less digestible aspects of algebraic topology. Acco...
The guiding principle in this book is to use differential forms as an aid in exploring some of the less digestible aspects of algebraic topology. Accord- ingly, we move primarily in the realm of smooth manifolds and use the de Rham theory as a prototype of all of cohomology. For applications to homotopy theory we also discuss by way of analogy cohomology with arbitrary coefficients. Although we have in mind an audience with prior exposure to algebraic or differential topology, for the most part a good knowledge of linear algebra, advanced calculus, and point-set topology should suffice. Some...
The guiding principle in this book is to use differential forms as an aid in exploring some of the less digestible aspects of algebraic topology. Acco...
This book is the fifth and final volume of Raoul Bott's Collected Papers. It collects all of Bott's published articles since 1991 as well as some articles published earlier but missing in the earlier volumes. The volume also contains interviews with Raoul Bott, several of his previously unpublished speeches, commentaries by his collaborators such as Alberto Cattaneo and Jonathan Weitsman on their joint articles with Bott, Michael Atiyah's obituary of Raoul Bott, Loring Tu's authorized biography of Raoul Bott, and reminiscences of Raoul Bott by his friends, students, colleagues, and...
This book is the fifth and final volume of Raoul Bott's Collected Papers. It collects all of Bott's published articles since 1991 as well as some a...
Over the past one hundred years, differential geometry has proven indispensable to an understanding of the physical world, in Einstein's general theory of relativity, in the theory of gravitation, in gauge theory, and now in string theory.
Over the past one hundred years, differential geometry has proven indispensable to an understanding of the physical world, in Einstein's general theor...
