A TQFT of Intersection Numbers on Moduli Spaces of Admissible Covers
Algebraic Geometry
2007-05-23 v1
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 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.
Keywords
Cite
@article{arxiv.math/0512225,
title = {A TQFT of Intersection Numbers on Moduli Spaces of Admissible Covers},
author = {Renzo Cavalieri},
journal= {arXiv preprint arXiv:math/0512225},
year = {2007}
}