2 papers
math.AT2025
Uniform Lefschetz fixed-point theory
Tsuyoshi Kato, Daisuke Kishimoto, Mitsunobu Tsutaya
We develop the Lefschetz fixed-point theory for noncompact manifolds of bounded geometry and uniformly continuous maps. Specifically, we define the uniform Lefschetz class $\mathsc…
math.GT2024
Morse inequalities for noncompact manifolds
Tsuyoshi Kato, Daisuke Kishimoto, Mitsunobu Tsutaya
We establish Morse inequalities for a noncompact manifold with a cocompact and properly discontinuous action of a discrete group, where Morse functions are not necessarily invarian…