On Quinn's Invariants of 2-dimensional CW-complexes

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dc.creatorBobtcheva, Ivelina
dc.date2000-12-15
dc.date.accessioned2026-07-07T04:39:14Z
dc.date.available2026-07-07T04:39:14Z
dc.descriptionGiven a semisimple stable autonomous tensor category over a field $K$, to any group presentation with finite number of generators we associate an element $Q(P)\in K$ invariant under the Andrews-Curtis moves. We show that in fact, this is the same invariant as the one produced by the algorithm of Frank Quinn. The new definition allows us to present a relatively simple proof of the invariance and to evaluate $Q(P)$ for some presentations. On the basis of some numerical calculations over different Gelfand-Kazhdan categories, we make a conjecture which relates the value of $Q(P)$ for two different classes of presentations.
dc.description28 pages, Latex
dc.identifierhttps://arxiv.org/abs/math/0012121
dc.identifierhttp://arxiv.org/abs/math/0012121
dc.identifierContemporary Math. 233 (1999), 69-95
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/60575
dc.subjectGeometric Topology
dc.subjectQuantum Algebra
dc.subjectPrimary 57M20; Secondary 57M05
dc.titleOn Quinn's Invariants of 2-dimensional CW-complexes
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