The Floer Memorial Volume

708 Seiten, Taschenbuch

Kurzbeschreibung des Verlags

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.

• Themen: Mathematik und Naturwissenschaften Mathematik Mathematische Analysis, allgemein
• ISBN: 9783034899482
• Sprache: Englisch
• Erscheinungsdatum: 27.09.2011
• Größe: 235 x 155 mm
• Verlag: Birkhäuser
• Herausgegeben von: Alan Weinstein, Clifford H. Taubes, Eduard Zehnder, Helmut Hofer