A TQFT for intersection numbers on moduli spaces of admissible covers (2005)
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BibTeX
@TECHREPORT{Cavalieri05atqft,
author = {Renzo Cavalieri},
title = {A TQFT for intersection numbers on moduli spaces of admissible covers},
institution = {},
year = {2005}
}
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Abstract
We 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 in [BP04]. We compute explicitly the theory using techniques of localization on moduli spaces of admissible covers of a parametrized P 1. The Frobenius Algebras we obtain are one parameter deformations of the class algebra of the symmetric group Sd. In certain special cases we are able to produce explicit closed formulas for such deformations in terms of the representation theory of Sd.
