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Sutured instanton homology and Heegaard diagrams

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arxiv 2011.09424 v1 pith:HZI4OE2U submitted 2020-11-18 math.GT

classification math.GT
keywords suturedheegaardinstantongammahomologyl-spacesadmissibleassociated
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Suppose H is an admissible Heegaard diagram for a balanced sutured manifold (M,\gamma). We prove that the number of generators of the associated sutured Heegaard Floer complex is an upper bound on the dimension of the sutured instanton homology of (M,\gamma). It follows, in particular, that strong L-spaces are instanton L-spaces.

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