A TQFT of Intersection Numbers on Moduli Spaces of Admissible Covers

dc.creatorCavalieri, Renzo
dc.date2005-12-11
dc.date.accessioned2026-07-07T06:55:03Z
dc.date.available2026-07-07T06:55:03Z
dc.descriptionWe construct a two-level weighted TQFT whose structure coefficents are equivariant intersection numbers on moduli spaces of admissible covers. Such a structure is parallel (and strictly related) to the local Gromov-Witten theory of curves of Bryan-Pandharipande. We compute explicitly the theory using techniques of localization on moduli spaces of admissible covers of a parametrized projective line. The Frobenius Algebras we obtain are one parameter deformations of the class algebra of the symmetric group S_d. In certain special cases we are able to produce explicit closed formulas for such deformations in terms of the representation theory of S_d.
dc.identifierhttps://arxiv.org/abs/math/0512225
dc.identifierhttp://arxiv.org/abs/math/0512225
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/106161
dc.subjectAlgebraic Geometry
dc.subject14N35
dc.titleA TQFT of Intersection Numbers on Moduli Spaces of Admissible Covers
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