Representations of non-singular planar tangles by operators

Simple item page
dc.creatorCarpentier, Rui Pedro
dc.date2005-04-17
dc.date.accessioned2026-07-07T05:19:11Z
dc.date.available2026-07-07T05:19:11Z
dc.descriptionIn this paper we study how to distinguish two embeddings of a finite collection of disjoint circles into the plane up to planar isotopy. We adopt the spirit of the approach by V. Turaev, Operator Invariants of Tangles, Math. USSR-Izv. 35 (1990), 411--444, by considering a category of planar tangles and representing it in an ``algebraic'' category. From this we can extract a numerical invariant for embeddings of a finite collection of disjoint circles and this invariant is, up to certain choices, complete.
dc.description61 pages, 32 figures
dc.identifierhttps://arxiv.org/abs/math/0504346
dc.identifierhttp://arxiv.org/abs/math/0504346
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/74928
dc.subjectGeometric Topology
dc.subjectCategory Theory
dc.subject57Q35; 57Q37; 57Q99; 06-xx
dc.titleRepresentations of non-singular planar tangles by operators
dc.typetext

Files

Collections

arXiv