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

Bohdan Feshchenko

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arXiv · 2305.08255

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

Bohdan Feshchenko

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Abstract

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.

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BibTeX RIS

Bohdan Feshchenko. 2023-05-14. Homotopy type of stabilizers of smooth functions with non-isolated singularities on surfaces. https://arxiv.org/abs/2305.08255

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