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math.GT2025
Notions of simple type for Bauer--Furuta invariants
Tsuyoshi Kato, Daisuke Kishimoto, Nobuhiro Nakamura +1
By extending the notion of simple type for the Seiberg--Witten invariant of a 4-manifold, we introduce notions of BF blowup simple type and BF homogeneous type for the Bauer--Furut…
math.AT2025
Uniform Lefschetz fixed-point theory
Tsuyoshi Kato, Daisuke Kishimoto, Mitsunobu Tsutaya
We develop a Lefschetz fixed-point theory for uniformly continuous self-maps of noncompact manifolds of bounded geometry. For a uniform, simply-connected, complete Riemannian manif…