Homotopy type of stabilizers of smooth functions with non-isolated singularities on surfaces

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Détails bibliographiques
Auteur principal:	Feshchenko, Bohdan
Format:	Preprint
Publié:	2023
Sujets:	Geometric Topology
Accès en ligne:	Acceder al recurso
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_version_	1866917461362737152
author	Feshchenko, Bohdan
author_facet	Feshchenko, Bohdan
contents	The paper is devoted to the study of homotopy properties of stabilizers of smooth functions on oriented surfaces, i.e., groups of diffeomorphisms of surfaces preserving a given function. For some class of smooth functions which is a generalization of the class of Morse-Bott functions on oriented surfaces, the homotopy type of the connected component of the identity map of the stabilizer is completely described.
format	Preprint
id	arxiv_https___arxiv_org_abs_2305_08255
institution	arXiv
publishDate	2023
record_format	arxiv
spellingShingle	Homotopy type of stabilizers of smooth functions with non-isolated singularities on surfaces Feshchenko, Bohdan Geometric Topology The paper is devoted to the study of homotopy properties of stabilizers of smooth functions on oriented surfaces, i.e., groups of diffeomorphisms of surfaces preserving a given function. For some class of smooth functions which is a generalization of the class of Morse-Bott functions on oriented surfaces, the homotopy type of the connected component of the identity map of the stabilizer is completely described.
title	Homotopy type of stabilizers of smooth functions with non-isolated singularities on surfaces
topic	Geometric Topology
url	https://arxiv.org/abs/2305.08255

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