An involution acting nontrivially on Heegard-Floer homology
classification
🧮 math.GT
math.SG
keywords
homologyheegard-floerinvolutionactingapplicationboundarycertainconstructing
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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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