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Abstract:

We prove that a conjugacy class in the fundamental group of a surface with boundary is represented by a power of a simple curve if and only if the Goldman bracket of two different powers of this class, one of them larger than two, is zero. The main theorem actually counts self-intersection number of a primitive class by counting the number of terms of the Goldman bracket of two distinct powers, one of them larger than two. © 2010 World Scientific Publishing Company.

Registro:

Documento: Artículo
Título:An algebraic characterization of simple closed curves on surfaces with boundary
Autor:Chas, M.; Krongold, F.
Filiación:Department of Mathematics, Stony Brook University, NY 11794, United States
Departamento de Matemática, Facultad de Ciencias Exactas y Naturales, Ciudad Universitaria, 1428 Buenos Aires, Argentina
Palabras clave:conjugacy classes; embedded curves; hyperbolic geometry; intersection number; Lie algebras; Surfaces
Año:2010
Volumen:2
Número:3
Página de inicio:395
Página de fin:417
DOI: http://dx.doi.org/10.1142/S1793525310000379
Título revista:Journal of Topology and Analysis
Título revista abreviado:J. Topol. Anal.
ISSN:17935253
Registro:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_17935253_v2_n3_p395_Chas

Referencias:

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Citas:

---------- APA ----------
Chas, M. & Krongold, F. (2010) . An algebraic characterization of simple closed curves on surfaces with boundary. Journal of Topology and Analysis, 2(3), 395-417.
http://dx.doi.org/10.1142/S1793525310000379
---------- CHICAGO ----------
Chas, M., Krongold, F. "An algebraic characterization of simple closed curves on surfaces with boundary" . Journal of Topology and Analysis 2, no. 3 (2010) : 395-417.
http://dx.doi.org/10.1142/S1793525310000379
---------- MLA ----------
Chas, M., Krongold, F. "An algebraic characterization of simple closed curves on surfaces with boundary" . Journal of Topology and Analysis, vol. 2, no. 3, 2010, pp. 395-417.
http://dx.doi.org/10.1142/S1793525310000379
---------- VANCOUVER ----------
Chas, M., Krongold, F. An algebraic characterization of simple closed curves on surfaces with boundary. J. Topol. Anal. 2010;2(3):395-417.
http://dx.doi.org/10.1142/S1793525310000379