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A satellite formula for real Seiberg-Witten Floer homotopy types

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arxiv 2504.03270 v1 pith:LLRULVXE submitted 2025-04-04 math.GT

Jin Miyazawa , JungHwan Park , Masaki Taniguchi This is my paper · ORCID
classification math.GT
keywords realfloerformulahomotopysatelliteseiberg-wittentypesconcordance
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We establish a satellite formula for the real Seiberg-Witten Floer homotopy types of knots with odd patterns. Using this, we derive several applications to knot concordance theory. The satellite formula follows from a version of the excision theorem for real Floer homotopy types. Additionally, we show that the concordance invariants arising from real Seiberg-Witten theory depend only on the knot's zero-framed surgery.

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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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