Floer homology beyond borders

Robert Lipshitz; Peter Ozsváth; Dylan Thurston

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arXiv · 2307.16330

Floer homology beyond borders

Robert Lipshitz·Peter Ozsváth·Dylan Thurston

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Abstract

Bordered Floer homology is an invariant for 3-manifolds with boundary, defined by the authors in 2008. It extends the Heegaard Floer homology of closed 3-manifolds, defined in earlier work of Zolt\'an Szab\'o and the second author. In addition to its conceptual interest, bordered Floer homology also provides powerful computational tools. This survey outlines the theory, focusing on recent developments and applications.

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Robert Lipshitz, Peter Ozsváth, Dylan Thurston. 2023-07-30. Floer homology beyond borders. https://arxiv.org/abs/2307.16330

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