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math.KT2022
Seiberg-Witten theory on finite covering spaces of spin 4-manifolds
Tsuyoshi Kato, Doman Takata
We compute the equivariant Bauer-Furuta degree, when a finite group acts freely on a spin 4-manifold. In the case when the group is cyclic of order power of two, Bryan gave a formu…
math.KT2021
Hilbert bundles with ends
Tsuyoshi Kato, Daisuke Kishimoto, Mitsunobu Tsutaya
Given a countable metric space, we can consider its end. Then a basis of a Hilbert space indexed by the metric space defines an end of the Hilbert space, which is a new notion and…
math.KT2018
Induced map on K theory for certain Γ-equivariant maps between Hilbert spaces
Tsuyoshi Kato
Higson-Kapsparov-Trout introduced an infinite-dimensional Clifford algebra of a Hilbert space, and verified Bott periodicity on K-theory. To develop algebraic topology of maps betw…