Full paper in PDF:
$%H. Kodama and P. W. Michor, The homotopy type of the space of degree 0 Immersed plane curves, Rev. Mat. Complut. 19 (2006), no. 1, 227234.%$

The Homotopy Type of the Space of Degree 0 Immersed Plane Curves
Hiroki KODAMA and Peter W. MICHOR
Erwin Schrödinger Institut
für Mathematische Physik
Boltzmanngasse 9
A-1090 Wien Austria
Fakultät für Mathematik
Universität Wien
Nordbergstrasse 15
A-1090 Wien Austria

Received: October 25, 2005
Accepted: December 22, 2005
ABSTRACT

The space   0     0  1  2      1
B i = Imm (S ,R )/Diff(S )  of all immersions of rotation degree 0  in the plane modulo reparameterizations has homotopy groups     0
p1(B i)= Z  ,     0
p2(Bi)= Z  , and     0
pk(B i) = 0  for k > 3  .

Key words: homotopy groups, immersed plane curves.
2000 Mathematics Subject Classification:
Primary 58D10, 58D29, 55Q52.