Morse-Bott inequalities for endomorphisms
Fuente:
arXiv
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| Autori principali: | , , , |
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| Natura: | Preprint |
| Pubblicazione: |
2026
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| Soggetti: | |
| Accesso online: | |
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| _version_ | 1866917241988055040 |
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| author | Macías-Virgós, Enrique Majadas-Moure, Alejandro O. Mosquera-Lois, David Vilches, José Antonio |
| author_facet | Macías-Virgós, Enrique Majadas-Moure, Alejandro O. Mosquera-Lois, David Vilches, José Antonio |
| contents | Let $K$ be a finite simplicial complex, let $g\colon K\to K$ be a simplicial map and let $f$ be a discrete Morse-Bott function on $K$ satisfying $f(g(σ))\leq f(σ)$ for all simplices $σ$ 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 $f$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2602_02075 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Morse-Bott inequalities for endomorphisms Macías-Virgós, Enrique Majadas-Moure, Alejandro O. Mosquera-Lois, David Vilches, José Antonio Algebraic Topology Dynamical Systems 57Q70 Let $K$ be a finite simplicial complex, let $g\colon K\to K$ be a simplicial map and let $f$ be a discrete Morse-Bott function on $K$ satisfying $f(g(σ))\leq f(σ)$ for all simplices $σ$ 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 $f$. |
| title | Morse-Bott inequalities for endomorphisms |
| topic | Algebraic Topology Dynamical Systems 57Q70 |
| url | https://arxiv.org/abs/2602.02075 |