4 papers
New Applications and Computations of the Lefschetz Number of Homeomorphisms and Open Maps
Jesús A. Ãlvarez López, Jesús A. Álvarez López, Alejandro O. Majadas-Moure
We show that the combinatorial Lefschetz number is a topological invariant. This is an important result in itself; in order to point it out, we will also work here several relevant…
A Combinatorial Study of the Fixed Point Index
Jesús A. Ãlvarez 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…
Regularized determinant formulas for the zeta functions of 3-dimensional Riemannian foliated dynamical systems
Jesús A. Ãlvarez 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…
Topology of the space of conormal distributions
Jesús A. Ãlvarez López, Yuri A. Kordyukov, Eric Leichtnam
Given a closed manifold and a closed regular submanifold , consider the corresponding locally convex space of conormal distributions, with its natural topology, a…