ON THE INVERSE MAPPING CLASS MONOIDS - Archive ouverte HAL Accéder directement au contenu
Article Dans Une Revue Journal of Knot Theory and Its Ramifications Année : 2010

ON THE INVERSE MAPPING CLASS MONOIDS

Résumé

Braid groups and mapping class groups have many features in common. Similarly to the notion of inverse braid monoid, inverse mapping class monoid is defined. It concerns surfaces with punctures, but among given n punctures, several can be omitted. This corresponds to braids where the number of strings is not fixed. In the paper we give the analogue of the Dehn-Nilsen-Baer theorem, propose a presentation of the inverse mapping class monoid for a punctured sphere and study the word problem. This shows that certain properties and objects based on mapping class groups may be extended to the inverse mapping class monoids. We also give analogues of Artin presentation with two generators.
Fichier principal
Vignette du fichier
in_m_c10.pdf (180.94 Ko) Télécharger le fichier
Origine Fichiers produits par l'(les) auteur(s)
Loading...

Dates et versions

hal-00803326 , version 1 (21-03-2013)

Identifiants

Citer

Rym Karoui, Vladimir Vershinin. ON THE INVERSE MAPPING CLASS MONOIDS. Journal of Knot Theory and Its Ramifications, 2010, 19 (2), pp.163-179. ⟨10.1142/S0218216510007814⟩. ⟨hal-00803326⟩
88 Consultations
116 Téléchargements

Altmetric

Partager

Gmail Mastodon Facebook X LinkedIn More