Knot Floer homology and integer surgeries

DOI10.2140/AGT.2008.8.101zbMATH Open1181.57018arXivmath/0410300OpenAlexW2022358685MaRDI QIDQ2471687

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Publication date: 18 February 2008

Published in: (Search for Journal in Brave)

Abstract: Let $K$ be a null-homologous knot in a three-manifold $Y$. We give a description of the Heegaard Floer homology of integer surgeries on $Y$ along $K$ in terms of the filtered homotopy type of the knot invariant for $K$. As an illustration, we calculate the Heegaard Floer homology groups of non-trivial circle bundles over Riemann surfaces.

Full work available at URL: https://arxiv.org/abs/math/0410300

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