Heegaard Floer Homology and Triple Cup Products

Details Heegaard Floer Homology and Triple Cup Products Heegaard Floer Homology and Triple Cup Products

2010-11-18

arxiv.org/abs/1011.4277v1

Mathematics

Geometric Topology

29 pages, 3 figures

Scientific paper

We give a complete calculation of the infinity flavor of Heegaard Floer
homology with mod 2 coefficients for all three-manifolds and torsion Spin^c
structures. The computation agrees with the conjectured calculation of Ozsvath
and Szabo. This therefore establishes an isomorphism with Mark's cup homology
mod 2.

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