3 papers
hep-th2026
Moduli Spaces of Connections and B-fields from T-duality with H-flux
Fei Han, Pedram Hekmati, Tsuyoshi Kato +1
We study the geometry of mixed fields, consisting of a connection and a -field on a principal circle bundle over a Riemann surface, from the perspective of gauge theory and T-du…
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…
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…