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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826 (e) ISSN 0002-9939 (p)
     

Lefschetz index for orientation reversing planar homeomorphisms

Author(s): Marc Bonino
Journal: Proc. Amer. Math. Soc. 130 (2002), 2173-2177.
MSC (2000): Primary 55M20; Secondary 54H20
Posted: February 4, 2002
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Abstract | References | Similar articles | Additional information

Abstract: We prove that an isolated fixed point of an orientation reversing homeomorphism of the plane always has Lefschetz index $0$ or $\pm 1$.


References:

[1]
M. Brown, On the fixed points index of iterates of planar homeomorphisms, Proc. Amer. Math. Soc. 108 (1990), 1109-1114. MR 90g:54036

[2]
P. Le Calvez and J.C. Yoccoz, Un théorème d'indice pour les homéomorphismes du plan au voisinage d'un point fixe, Annals of Mathematics 146 (1997), 241-293. MR 99a:58129


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Additional Information:

Marc Bonino
Affiliation: Université Paris 13, Institut Galilée, Département de Mathématiques, Avenue J.B. Clément, 93430 Villetaneuse, France
Email: bonino@math.univ-paris13.fr

DOI: 10.1090/S0002-9939-02-06468-7
PII: S 0002-9939(02)06468-7
Received by editor(s): February 2, 2001
Posted: February 4, 2002
Communicated by: Michael Handel
Copyright of article: Copyright 2002, American Mathematical Society


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