The Floer Memorial Volume

ISBN-13: 9783764350444 / Angielski / Twarda / 1995 / 691 str.

Helmut Hofer; Clifford H. Taubes; Alan Weinstein

Opis

Andreas Floer's visions and contributions have significantly influenced the developments of mathematics. This work presents a collection of invited contributions, and survey articles as well as research papers on his fields of interest, bearing testimony of the high esteem and appreciation this brilliant mathematician enjoyed among his colleagues.

Spis treści

Floer’s work on monopoles.- Monopoles on asymptotically flat manifolds.- The configuration space of Yang-Mills-Higgs theory on asymptotically flat manifolds.- Instanton homology and Dehn surgery.- Some remarks on symplectic monodromy of Milnor fibrations.- Floer homology.- Topologie des systèmes de Moser en dimension quatre.- Morse-Bott theory and equivariant cohomology.- Some simple continuity properties of symplectic capacities.- Floer’s work on instanton homology, knots and surgery.- Fukaya-Floer homology and gluing formulae for polynomial invariants.- On generating families.- Floer’s infinite dimensional Morse theory and homotopy theory.- Periodic solutions of elliptic type for strongly nonlinear Hamiltonian systems.- Topology of 2-knots in ?4 and symplectic geometry.- The ends of the monopole moduli space over ?3#, (homology sphere): Part I.- The ends of the monopole moduli space over ?3#, (homology sphere): Part II.- Using Floer’s exact triangle to compute Donaldson invariants.- A symplectic fixed point theorem for toric manifolds.- Floer homology and Novikov rings.- Symplectic invariants and Hamiltonian dynamics.- An irrational ruled 4-manifold.- Floer cohomology of Lagrangian intersections and pseudoholomorphic discs, III: Arnold-Givental conjecture.- An obstacle to non-Lagrangian intersections.- A Mayer-Vietoris model for Donaldson-Floer theory.- The cup-product on the Thom-Smale-Witten complex, and Floer cohomology.- The symplectic structure on moduli space.- Chern-Simons gauge theory as a string theory.