3 papers
math.AT2025
A Combinatorial Study of the Fixed Point Index
Jesús A. Álvarez López, Alejandro O. Majadas-Moure, David Mosquera-Lois
We introduce a theory of integration with respect to the fixed point index, offering a substantial improvement over previous approaches based on the Lefschetz number. This framewor…
math.DS2024
Regularized determinant formulas for the zeta functions of 3-dimensional Riemannian foliated dynamical systems
Jesús A. Álvarez López, Junhyeong Kim, Masanori Morishita
We prove a regularized determinant formula for the zeta functions of certain 3-dimensional Riemannian foliated dynamical systems, in terms of the infinitesimal operator induced by…
math.DG2020
The Witten deformation of the Dolbeault complex
Jesús Álvarez López, Peter Gilkey
We introduce a Witten-Novikov type perturbation of the Dolbeault complex of any complex Kähler manifold, defined by a form of type with $\partial…