English

Deformations of circle-valued functions on $2$-torus

Geometric Topology 2021-08-10 v2

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 22-torus T2T^2 with respect to the action of the group of diffeomorphisms of T2T^2.

Keywords

Cite

@article{arxiv.2104.06151,
  title  = {Deformations of circle-valued functions on $2$-torus},
  author = {Bohdan Feshchenko},
  journal= {arXiv preprint arXiv:2104.06151},
  year   = {2021}
}

Comments

15 pages, 2 figures

R2 v1 2026-06-24T01:07:14.035Z