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math.GT2026
-cobordisms, infinite cyclic covers, and real Seiberg--Witten theory
Sungkyung Kang, JungHwan Park, Masaki Taniguchi
We study -cobordisms of distinguished homology handles, introduced by Kawauchi in 1976 using infinite cyclic covers. Despite the extensive development of gauge-theor…
math.GT2026
Real Floer Homotopy Types and -Invariants
Yoshihiro Fukumoto, Masaki Taniguchi
We express the local-equivalence classes of real Seiberg--Witten Floer homotopy types for spin Seifert -manifolds with certain odd involutions in terms of the Fukumoto-Furuta $w…
math.GT2026
Non-kinetic homotopy coherent actions on four-manifolds
Sungkyung Kang, JungHwan Park, Masaki Taniguchi
We give the first example of a non-kinetic smooth homotopy coherent action of order two on a closed simply connected smooth four-manifold. This action is obtained by restricting a…