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Seiberg-Witten Floer homotopy contact invariant
Nobuo Iida, Masaki Taniguchi
We introduce a Floer homotopy version of the contact invariant introduced by Kronheimer-Mrowka-Ozváth-Szabó. Moreover, we prove a gluing formula relating our invariant with the fir…
math.GT2020
The groups of diffeomorphisms and homeomorphisms of 4-manifolds with boundary
Hokuto Konno, Masaki Taniguchi
We give constraints on smooth families of 4-manifolds with boundary using Manolescu's Seiberg-Witten Floer stable homotopy type, provided that the fiberwise restrictions of the fam…