AN INVOLUTION ACTING NONTRIVIALLY ON
SELMAN AKBULUT AND SELAHI DURUSOY
Abstract. We show that a certain involution on a homology sphere induces a
nontrivial homomorphism on its Heegard-Floer homology groups (recently defined
by Ozsv´ath and Szab´o). We discuss application of this to constructing exotic smooth
structures on 4-manifolds.
Let W be the smooth contractible 4-manifold consisting of a single 1- and 2- handle
attached as in Figure 1 (one of the Mazur manifolds).
The boundary is a homology sphere = W. Let f : be the obvious
involution obtained by first surgering S1
in the interior of W, then