Masaki Taniguchi

$\widetilde{H}$-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 $\widetilde{H}$-...