WebLecture 1: Floer cohomology This is an optimist’s account of the Floer cohomology of symplectic manifolds: its origins, its construction, the main theorems, and the algebraic … WebAbstract. Various Seiberg–Witten–Floer cohomologies are defined for a closed, oriented three-manifold; and if it is the mapping torus of an areapreserving surface automorphism, …
Floer homology - Wikipedia
WebMay 23, 2012 · The Floer cohomology of equivariant Lagrangian submanifolds has a natural endomorphism, which induces an \({\mathbb{R}}\)-grading by generalized eigenspaces. Taking Euler characteristics with respect to the induced grading yields a deformation of the intersection number. Dehn twists act naturally on equivariant … WebApr 13, 2024 · 作者邀请. Let (M,\omega) be a compact symplectic manifold, and \phi be a symplectic diffeomorphism on M, we define a Floer-type homology FH_* (\phi) which is a gen- eralization of Floer homology for symplectic fixed points defined by Dostoglou and Salamon for monotone symplectic manifolds. These homology groups are modules over … litin party and paper
Floer Cohomology, Multiplicity and the Log Canonical Threshold
WebPublished in two volumes, this is the first book to provide a thorough and systematic explanation of symplectic topology, and the analytical details and techniques used in applying the machinery arising from Floer theory as a whole. Volume 1 covers the basic materials of Hamiltonian dynamics and symplectic geometry and the analytic foundations ... WebApr 13, 2024 · 作者邀请. Let (M,\omega) be a compact symplectic manifold, and \phi be a symplectic diffeomorphism on M, we define a Floer-type homology FH_* (\phi) which is a … Web1.1 What is Floer (co)homology 1 1.2 General theory of Lagrangian Floer cohomology 5 1.3 Applications to symplectic geometry 13 1.4 Relation to mirror symmetry 16 1.5 Chapter-wise outline of the main results 25 1.6 Acknowledgments 35 1.7 Conventions 36 Chapter 2. Review: Floer cohomology 39 2.1 Bordered stable maps and the Maslov index 39 litin party plastic round tablecloths