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math.DGOct 19, 2005
1
citations (OpenAlex)
authors
  • Hiroki Kodama
  • Peter W. Michor
arXiv abstractPDF
paper

The homotopy type of the space of degree 0 immersed plane curves

arXiv:math/0509694

Abstract

The space of all immersed closed curves of rotation degree 0 in the plane modulo reparametrizations has the same homotopy groups as the circle times the 2-sphere.

arXiv comment7 pages

Cited by in corpus (1)

  • An overview of the Riemannian metrics on spaces of curves using the Hamiltonian approach
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