Real sutured Heegaard Floer homology

Fraser Binns; Gary Guth; Yonghan Xiao

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arXiv · 2607.11082

Real sutured Heegaard Floer homology

Fraser Binns·Gary Guth·Yonghan Xiao

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Abstract

We develop a theory of real sutured manifolds and a real Heegaard Floer theory for these manifolds. We develop a notion of real nice diagrams, and prove that our invariant is combinatorially computable. Our theory shares many structural properties with Juh\'asz's sutured Floer homology, as does the topological theory of real sutured manifolds with Gabai's original sutured manifold theory. We also show that our invariant has several new structural properties differentiating it from sutured Floer homology.

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Fraser Binns, Gary Guth, Yonghan Xiao. 2026-07-13. Real sutured Heegaard Floer homology. https://arxiv.org/abs/2607.11082

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