Knots, von Neumann signatures, and grope cobordism

Simple item page
dc.creatorTeichner, Peter
dc.date2003-04-21
dc.date.accessioned2026-07-07T04:57:07Z
dc.date.available2026-07-07T04:57:07Z
dc.descriptionWe explain new developments in classical knot theory in 3 and 4~dimensions, i.e. we study knots in 3-space, up to isotopy as well as up to concordance. In dimension~3 we give a geometric interpretation of the Kontsevich integral (joint with Jim Conant), and in dimension 4 we introduce new concordance invariants using von Neumann signatures (joint with Tim Cochran and Kent Orr). The common geometric feature of our results is the notion of a grope cobordism.
dc.identifierhttps://arxiv.org/abs/math/0304299
dc.identifierhttp://arxiv.org/abs/math/0304299
dc.identifierProceedings of the ICM, Beijing 2002, vol. 2, 437--446
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/67163
dc.subjectGeometric Topology
dc.subject57M25, 57N70, 46L89
dc.titleKnots, von Neumann signatures, and grope cobordism
dc.typetext

Files

Collections

arXiv