Alejandro O. Majadas-Moure

activity

20242026

collaborators

4 papers

math.DS2026

On Lefschetz's point-free periodicity

Alejandro O. Majadas-Moure

We motivate two new approaches to the study of Lefschetz point-free periodicity. The first focusses on spaces satisfying the Wecken property. As an example, we study the bubble spa…

math.AT2026

Morse-Bott inequalities for endomorphisms

Enrique Macías-Virgós, 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 $f (g (σ)) \leq f (σ)$ for all simplice…

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.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.