On handle theory for Morse–Bott critical manifolds
Sign Up to like & getrecommendations! Published in 2018 at "Geometriae Dedicata"
DOI: 10.1007/s10711-018-0413-7
Abstract: In this article, we use Conley Index Theory to set up a framework to associate topological-dynamical invariants to a Morse–Bott flow in a neighborhood of a critical manifold. Isolating blocks N for a critical manifold… read more here.
Keywords: bott; critical manifolds; morse bott; isolating blocks ... See more keywords
A finite graph is homeomorphic to the Reeb graph of a Morse–Bott function
Sign Up to like & getrecommendations! Published in 2020 at "Mathematica Slovaca"
DOI: 10.1515/ms-2021-0018
Abstract: Abstract We prove that a finite graph (allowing loops and multiple edges) is homeomorphic (isomorphic up to vertices of degree two) to the Reeb graph of a Morse–Bott function on a smooth closed n-manifold, for… read more here.
Keywords: graph morse; reeb graph; graph; morse bott ... See more keywords