2002/11/15 by Matilde Marcolli, Marcolli, Matilde, Bai-Ling Wang +2
Mathematics · #57R57 #57R58 #58J10 #Advanced Operator Algebra Research #Differential Geometry (math.DG) #FOS: Mathematics #Geometric Topology (math.GT) #Geometric and Algebraic Topology #Homotopy and Cohomology in Algebraic Topology #math.DG #math.GT #msc:57R57 #msc:57R58 #msc:58J10
paper · pdf · doi:10.48550/arxiv.math/0211238
LaTeX 18 pages
arxiv created 2002/11/15 · openalex publication_date 2002/11/15 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
For a rational homology 3-sphere Y with a \spinc structure \s, we show that simple algebraic manipulations of our construction of equivariant Seiberg-Witten Floer homology lead to a collection of variants which are topological invariants. We establish exact sequences relating them, we show that they satisfy a duality under orientation reversal, and we explain their relation to ou previous construction of equivariant Seiberg-Witten Floer (co)homologies. We conjecture the equivalence of these versions of equivariant Seiberg-Witten Floer homology with the Heegaard Floer invariants introduced by Ozsváth and Szabó.