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Lectures notes on Heegaard Floer homology

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arxiv 2008.01836 v1 pith:HCQDJYYH submitted 2020-08-04 math.GT

Jennifer Hom This is my paper · ORCID
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keywords floerheegaardhomologyknotnotescoursedescribediagrams
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These are the lecture notes for a course on Heegaard Floer homology held at PCMI in Summer 2019. We describe Heegaard diagrams, Heegaard Floer homology, knot Floer homology, and the relationship between the knot and 3-manifold invariants.

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  1. Holonomicity from a Heegaard-Floer Perspective

    math.GT 2025-01 reject novelty 6.0 of 10

    The paper builds S^r-colored knot Floer homology and claims homological q-holonomicity, but the defining notion is vacuous, making the main theorem a tautology.

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