Work

Morse–Bott inequalities for endomorphisms

Year: 2026

Type: article

Abstract: Let K be a finite simplicial complex, let $$g:K\rightarrow K$$ g : K → K be a simplicial map and let f be a discrete Morse–Bott function on K satisfying $$f(g(\sigma ))\le f(\sigma )$$ f ( g ( σ ) ) ≤ f ( σ ) for all simplices $$\sigma $$ σ in K . We establish a set of inequalities (generalizing the Morse–Bott inequalities which we recover as a particular case when g is the identity) relating the dynamics of g and f .

Source: Revista de la Real Academia de Ciencias Exactas Físicas y Naturales Serie A Matemáticas

DOI: 10.1007/s13398-026-01858-w

Authors: Enrique Macías-Virgós, Alejandro O. Majadas-Moure, David Mosquera-Lois, José Antonio Vilches

Institutions: Universidade de Santiago de Compostela, Universidade de Vigo, Universidad de Sevilla

Language: English

Topic: Geometric and Algebraic Topology

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $3,390