David Mosquera-Lois

activity

20242026

collaborators

4 papers

math.AT2026

Whitehead's theorem for minimal finite models

David Mosquera-Lois

We investigate the extent to which Whitehead's theorem remains valid for minimal finite models. We show that it fails in this setting, answering negatively a question posed by Barm…

math.AT2026

Morse-Bott inequalities for endomorphisms

Enrique MacÃas-VirgÃ³s, Alejandro O. Majadas-Moure, David Mosquera-Lois +1

Let $K$ be a finite simplicial complex, let $g : K \to K$ be a simplicial map and let $f$ be a discrete Morse-Bott function on $K$ satisfying $f (g (I ¨ )) \leq f (I ¨ )$ for all simpli…

math.AT2025

A Combinatorial Study of the Fixed Point Index

JesÃºs A. Ãlvarez LÃ³pez, 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.AT2024

Sheaf Theoretic Approach to Lefschetz Calculus

Alejandro O. Majadas-Moure, David Mosquera-Lois

We lift the Lefschetz number from an algebraic invariant of maps between spaces to an invariant of morphisms of data over the spaces.