2005/08/31 by Joshua M. Sabloff, Joshua M Sabloff · 3 citations
Computer Science · Mathematics · #Algebra over a field #Cellular homology #Cohomology #De Rham cohomology #Duality (order theory) #Equivariant cohomology #Floer homology #Geometric and Algebraic Topology #Homology (biology) #Homotopy and Cohomology in Algebraic Topology #Mathematics #Mayer–Vietoris sequence #Morse homology #Poincaré duality #Pure mathematics #Symplectic geometry #Topological and Geometric Data Analysis #math.GT #math.SG #msc:53D12 #msc:53D40 #msc:57M25 #msc:57R17
paper · pdf · doi:10.2140/gt.2006.10.2351
published as Geom. Topol. 10 (2006) 2351-2381 · This is the version published by Geometry & Topology on 8 December 2006
openalex publication_date 2006/12/08 · arxiv created 2009/03/02 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
The main result of this paper is that, off of a "fundamental class" in degree 1, the linearized Legendrian contact homology obeys a version of Poincar duality between homology groups in degrees k and k . Not only does the result itself simplify calculations, but its proof also establishes a framework for analyzing cohomology operations on the linearized Legendrian contact homology.