Real link Floer homology is defined for equivariant links in real 3-manifolds, computed combinatorially via real grid diagrams, and applied to bound equivariant unknotting and slice genera.
A note on real Heegaard Floer homology and localization
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abstract
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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math.GT 2years
2026 2representative citing papers
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.
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