Lefschetz index for orientation reversing planar homeomorphisms
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- by Marc Bonino PDF
- Proc. Amer. Math. Soc. 130 (2002), 2173-2177 Request permission
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
- Morton Brown, On the fixed point index of iterates of planar homeomorphisms, Proc. Amer. Math. Soc. 108 (1990), no. 4, 1109–1114. MR 994772, DOI 10.1090/S0002-9939-1990-0994772-9
- Patrice Le Calvez and Jean-Christophe Yoccoz, Un théorème d’indice pour les homéomorphismes du plan au voisinage d’un point fixe, Ann. of Math. (2) 146 (1997), no. 2, 241–293 (French, with English summary). MR 1477759, DOI 10.2307/2952463
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
- Received by editor(s): February 2, 2001
- Published electronically: February 4, 2002
- Communicated by: Michael Handel
- © Copyright 2002 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 130 (2002), 2173-2177
- MSC (2000): Primary 55M20; Secondary 54H20
- DOI: https://doi.org/10.1090/S0002-9939-02-06468-7
- MathSciNet review: 1896055