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A homological action on sutured instanton homology

Published 30 Jun 2023 in math.GT | (2306.17353v1)

Abstract: We define a homological action on sutured instanton Floer homology. This action is well-defined up to scalars, and behaves well under connected sums and sutured manifold decompositions. As an application, we show that instanton knot homology detects link splitting for two-component links.

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