Three Manifolds and Graph Invariants

dc.creatorRama, S. Kalyana
dc.creatorSen, Siddhartha
dc.date1991-12-24
dc.date.accessioned2026-07-07T09:13:56Z
dc.date.available2026-07-07T09:13:56Z
dc.descriptionWe show how the Turaev--Viro invariant can be understood within the framework of Chern--Simons theory with gauge group SU(2). We also describe a new invariant for certain class of graphs by interpreting the triangulation of a manifold as a graph consisiting of crossings and vertices with three lines. We further show, for $S^3$ and $RP^3$, that the Turaev-Viro invariant is the square of the absolute value of their respective partition functions in SU(2) Chern--Simons theory and give a method of evaluating the later in a closed form for lens spaces $L_{p,1}$.
dc.description12 pages, 14 with figures
dc.identifierhttps://arxiv.org/abs/hep-th/9112071
dc.identifierhttp://arxiv.org/abs/hep-th/9112071
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/152498
dc.subjectHigh Energy Physics - Theory
dc.subjectQuantum Algebra
dc.titleThree Manifolds and Graph Invariants
dc.typetext

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