Deformations of circle-valued functions on 2-torus

2021/04/13 by Bohdan Feshchenko, Feshchenko, Bohdan · 1 citation
Mathematics · #Analytic and geometric function theory #FOS: Mathematics #Geometric Topology (math.GT) #Geometric and Algebraic Topology #Mathematical Dynamics and Fractals

paper · pdf · doi:10.48550/arxiv.2104.06151

openalex publication_date 2021/04/13 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this paper we give an algebraic description of fundamental groups of orbits of circle-valued smooth functions from some subspace of the space of smooth functions with isolated singularities on 2-torus T² with respect to the action of the group of diffeomorphisms of T².

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