Every braid admits a short sigma-definite representativeReportar como inadecuado




Every braid admits a short sigma-definite representative - Descarga este documento en PDF. Documentación en PDF para descargar gratis. Disponible también para leer online.

1 LMNO - Laboratoire de Mathématiques Nicolas Oresme

Abstract : A result by Dehornoy 1992 says that every nontrivial braid admits a sigma-definite word representative, defined as a braid word in which the generator sigma i with maximal index i appears with exponents that are all positive, or all negative. This is the ground result for ordering braids. In this paper, we enhance this result and prove that every braid admits a sigma-definite word representative that, in addition, is quasi-geodesic. This establishes a longstanding conjecture. Our proof uses the dual braid monoid and a new normal form called the rotating normal form.

Keywords : braid ordering braid monoid dual braid monoid sigma-definite representative





Autor: Jean Fromentin -

Fuente: https://hal.archives-ouvertes.fr/



DESCARGAR PDF




Documentos relacionados