Knot Invariants and Chern-Simons Theory

dc.creatorLabastida, J. M. F.
dc.date2000-07-19
dc.date.accessioned2026-07-07T04:10:12Z
dc.date.available2026-07-07T04:10:12Z
dc.descriptionA brief review of the development of Chern-Simons gauge theory since its relation to knot theory was discovered in 1988 is presented. The presentation is done guided by a dictionary which relates knot theory concepts to quantum field theory ones. From the basic objects in both contexts the quantities leading to knot and link invariants are introduced and analyzed. The quantum field theory approaches that have been developed to compute these quantities are reviewed. Perturbative approaches lead to Vassiliev or finite type invariants. Non-perturbative ones lead to polynomial or quantum group invariants. In addition, a brief discussion on open problems and future developments is included.
dc.description14 pages, contribution to the proceedings of the 3rd European Congress of Mathematics
dc.identifierhttps://arxiv.org/abs/hep-th/0007152
dc.identifierhttp://arxiv.org/abs/hep-th/0007152
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/50133
dc.subjectHigh Energy Physics - Theory
dc.titleKnot Invariants and Chern-Simons Theory
dc.typetext

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