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Monopole Floer Homology and Real Structures

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arxiv 2211.10768 v1 pith:3SEVMGV5 submitted 2022-11-19 math.GT

Jiakai Li This is my paper · ORCID
classification math.GT
keywords realfloerhomologyinvolutionmonopolespin-cstructurealong
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We define a "real" version of Kronheimer-Mrowka's monopole Floer homology for a 3-manifold equipped with an involution. As a special case, we obtain invariants for links via their double branched covers. The new input is the notion of a real spin-c structure, which consists of a spin-c structure along with a compatible anti-linear involution on the spinor bundle.

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Cited by 2 Pith papers

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

  1. Real sutured Heegaard Floer homology

    math.GT 2026-07 accept novelty 7.0 of 10

    Real sutured Heegaard Floer homology is defined, shown invariant and combinatorially computable via nice real diagrams, and proven to satisfy surface and arc decomposition formulas with new non-Künneth and vanishing p...

  2. An adjunction inequality for Real embedded surfaces

    math.GT 2025-07 conditional novelty 7.0 of 10

    Real embedded surfaces satisfy a new adjunction inequality when the Real Seiberg-Witten invariant is non-zero, and a class is Real-representable iff it lifts to Z_2-equivariant cohomology.

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