Title: FLOER HOMOLOGY OF TOPOLOGICAL IMITATIONS OF HOMOLOGY 3-SPHERES
Abstract:We introduce the notion of weak slice for a homology 3-sphere or a knot in it in order to compute the Floer homology of topological imitations of a given homology 3-sphere. We obtain a qualitative res...We introduce the notion of weak slice for a homology 3-sphere or a knot in it in order to compute the Floer homology of topological imitations of a given homology 3-sphere. We obtain a qualitative result on the Floer homology. In particular, infinitely many hyperbolic homology 3-spheres with the same Floer homology are constructed as topological imitations of every given homology 3-sphere. The well-known connected sum and periodicity questions on the Floer homology are also discussed.Read More
Publication Year: 1998
Publication Date: 1998-02-01
Language: en
Type: article
Indexed In: ['crossref']
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Cited By Count: 2
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