Author

Masaki Taniguchi

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Preprint Aug 2026

Real Floer Homotopy Types and $w$-Invariants

We express the local-equivalence classes of real Seiberg--Witten Floer homotopy types for spin Seifert $3$-manifolds with certain odd involutions in terms of the Fukumoto-Furuta $w$-invariant. The proof uses real orbifold Bauer-Furuta invariant for a class of spin $4$-orbifolds constructed by Fukumoto-Furuta-Ue. For to...

Y. Fukumoto, Masaki Taniguchi · 1 citation

Preprint Sep 2026

$\widetilde{H}$-cobordisms, infinite cyclic covers, and real Seiberg--Witten theory

We study $\widetilde{H}$-cobordisms of distinguished homology handles, introduced by Kawauchi in 1976 using infinite cyclic covers. Despite the extensive development of gauge-theoretic and Floer-theoretic invariants since Kawauchi's work, none were previously known to distinguish smooth and topological $\widetilde{H}$-...

Sungkyung Kang, JungHwan Park, Masaki Taniguchi · 0 citations