2018/05/03 by Claude Viterbo, C Viterbo, Viterbo, C · 2 citations
Mathematics · #Advanced Combinatorial Mathematics #Algebraic Geometry and Number Theory #FOS: Mathematics #Geometric and Algebraic Topology #Homotopy and Cohomology in Algebraic Topology #Symplectic Geometry (math.SG) #math.SG
paper · pdf · doi:10.48550/arxiv.1805.01316
Version revised in 2003
arxiv created 2018/05/03 · openalex publication_date 2018/05/03 · arxiv updated 2018/05/04 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
The results in this paper concern computations of Floer cohomology using generating functions. The first part proves the isomorphism between Floer cohomology and Generating function cohomology introduced by Lisa Traynor. The second part proves that the Floer cohomology of the cotangent bundle (in the sense of Part I), is isomorphic to the cohomology of the loop space of the base. This has many consequences, some of which were given in Part I (GAFA, Geom. funct. anal. Vol. 9 (1999) 985-1033), others will be given in forthcoming papers. The results in this paper had been announced (with indications of proof) in a talk at the ICM 94 in Zürich. Up to typos, this is the revised version from 2003.