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Lectures notes on Heegaard Floer homology

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abstract

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.

fields

math.GT 1

years

2025 1

verdicts

REJECT 1

representative citing papers

Holonomicity from a Heegaard-Floer Perspective

math.GT · 2025-01-02 · reject · novelty 6.0

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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  • Holonomicity from a Heegaard-Floer Perspective math.GT · 2025-01-02 · reject · none · ref 22 · internal anchor

    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.