1 citations · 1 across the 4 of their papers we have counts for
5 papers
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…
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…
A trace formula for foliated flows
Jesús A. Álvarez López, Yuri A. Kordyukov, Eric Leichtnam
Let be a transversely oriented foliation of codimension 1 on a closed manifold , and let be a foliated flow on . Assume the closed orbits of are simpl…
Topology of the space of conormal distributions
Jesús A. Álvarez 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…
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…