p-Adic framed braids

Juyumaya, J; Lambropoulou, S

dc.contributor.author	Juyumaya, J	en
dc.contributor.author	Lambropoulou, S	en
dc.date.accessioned	2014-03-01T01:26:52Z
dc.date.available	2014-03-01T01:26:52Z
dc.date.issued	2007	en
dc.identifier.issn	0166-8641	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/18263
dc.subject	Inverse limits	en
dc.subject	p-adic framed braids	en
dc.subject	p-adic infinite cablings	en
dc.subject	p-adic integers	en
dc.subject	p-adic Markov traces	en
dc.subject	p-adic Yokonuma-Hecke algebras	en
dc.subject.classification	Mathematics, Applied	en
dc.subject.classification	Mathematics	en
dc.subject.other	HECKE ALGEBRAS	en
dc.subject.other	3-MANIFOLDS	en
dc.title	p-Adic framed braids	en
heal.type	journalArticle	en
heal.identifier.primary	10.1016/j.topol.2007.01.010	en
heal.identifier.secondary	http://dx.doi.org/10.1016/j.topol.2007.01.010	en
heal.language	English	en
heal.publicationDate	2007	en
heal.abstract	In this paper we define the p-adic framed braid group F-infinity.n, arising as the inverse limit of the modular framed braids. An element in F-infinity.n can be interpreted geometrically as an infinite framed cabling. F-infinity.n contains the classical framed braid group as a dense subgroup. This leads to a set of topological generators for F-infinity.n. and to approximations for the p-adic framed braids. We further construct a p-adic Yokonuma-Hecke algebra Y-infinity.n (u) as the inverse limit of a family of classical Yokonurna-Hecke algebras. These are quotients of the modular framed braid groups over a quadratic relation. Finally, we give topological generators for Y-infinity.n (u). (C) 2007 Elsevier B.V. All rights reserved.	en
heal.publisher	ELSEVIER SCIENCE BV	en
heal.journalName	Topology and its Applications	en
dc.identifier.doi	10.1016/j.topol.2007.01.010	en
dc.identifier.isi	ISI:000246102300021	en
dc.identifier.volume	154	en
dc.identifier.issue	8	en
dc.identifier.spage	1804	en
dc.identifier.epage	1826	en