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arxiv: 2508.03897 · v2 · pith:O6WBXLLSnew · submitted 2025-08-05 · 🧮 math.GT · math.SG

A note on real Heegaard Floer homology and localization

Kristen Hendricks This is my paper
classification 🧮 math.GT math.SG
keywords floerhomologyrealconstructionheegaardlocalizationsymplecticanti-symplectic
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We prove the existence of a localization spectral sequence for the hat variant of Guth and Manolescu's recent construction of real Heegaard Floer homology, and apply it to branched double covers and strongly invertible knots. Our construction applies to real Lagrangian Floer homology in exact symplectic manifolds equipped with anti-symplectic involutions more generally, and may be of independent interest to symplectic geometers.

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Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score.

  1. Real bordered Floer homology

    math.GT 2026-04 unverdicted novelty 7.0

    The authors define real bordered Heegaard Floer modules that satisfy a pairing theorem and yield a practical algorithm for computing real Heegaard Floer homology of 3-manifolds with connected fixed set under involution.

  2. Real link Floer homology

    math.GT 2026-04 unverdicted novelty 6.0

    Real link Floer homology is defined via real grid diagrams for symmetric links, extending real Heegaard Floer homology with combinatorial computations for over fifty small knots.