Virtual Homotopy

dc.creatorDye, H. A.
dc.creatorKauffman, Louis H.
dc.date2006-11-03
dc.date2009-02-14
dc.date.accessioned2026-07-07T12:41:06Z
dc.date.available2026-07-07T12:41:06Z
dc.descriptionTwo welded (respectively virtual) link diagrams are homotopic if one may be transformed into the other by a sequence of extended Reidemeister moves, classical Reidemeister moves, and self crossing changes. In this paper, we extend Milnor's mu and bar mu invariants to welded and virtual links. We conclude this paper with several examples, and compute the mu invariants using the Magnus expansion and Polyak's skein relation for the mu invariants.
dc.description25 pages, 16 figures, v4. Revisions to text, added proof of skein relation
dc.identifierhttps://arxiv.org/abs/math/0611076
dc.identifierhttp://arxiv.org/abs/math/0611076
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/219659
dc.subjectGeometric Topology
dc.subject57M27
dc.titleVirtual Homotopy
dc.typetext

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