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math.DG2026
Mod 3 Congruence Families for twisted signatures of string manifolds in dimensions up to twenty-eight
Tong Wu, Yong Wang
In the paper, we establish congruences for twisted Dirac indices and signatures on closed string manifolds by specializing the two-parameter modular forms of Liu and Wang to the ta…
math.DG2026
Hamiltonian-Type Spectral Functionals for Time-Dependent Perturbed Hodge--de Rham Operators
Sining Wei, Yong Wang
Let be a smooth family of Riemannian metrics on an oriented manifold of even dimension , and let on the fixed exterior bundle, with self-adj…
math.DG2026
The Bimetric generalization of Kastler--Kalau--Walze Type Theorems
Sining Wei, Yong Wang
Let be a closed oriented manifold of even dimension , equipped with a smooth metric and a Riemannian metric . We compute the Wodzicki residue of $D_{g_1}…