An involution acting nontrivially on Heegard-Floer homology

Details An involution acting nontrivially on Heegard-Floer homology An involution acting nontrivially on Heegard-Floer homology

2004-03-05

arxiv.org/abs/math/0403102v1

Mathematics

Geometric Topology

10 pages, 8 figures

Scientific paper

We show that a certain involution on the well known homology sphere (the
boundary of the Mazur manifold) induces a nontrivial homomorphism on its
Heegard-Floer homology groups (recently defined by Ozsvath and Szabo). We
discuss a possible application of this to constructing exotic smooth structures
on 4-manifolds.

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