Corpus ID: 208635981

GROMOV-WITTEN INVARIANTS OF P1 COUPLED TO A KDV TAU FUNCTION

@inproceedings{Norbury2018GROMOVWITTENIO,
  title={GROMOV-WITTEN INVARIANTS OF P1 COUPLED TO A KDV TAU FUNCTION},
  author={P. Norbury},
  year={2018}
}
We consider the pull-back of a natural sequence of cohomology classes Θg,n ∈ H2(2g−2+n)(Mg,n) to the moduli space of stable mapsM n(P, d). These classes are related to the Brézin-Gross-Witten tau function of the KdV hierarchy via ZBGW(h̄, t0, t1, ...) = exp ∑ h̄ 2g−2 n! ∫ Mg,n Θg,n ·∏ n j=1 ψ kj j ∏ tkj . Insertions of the pull-backs of the classes Θg,n into the integrals defining Gromov-Witten invariants define new invariants which we show in the case of target P1 are given by a random matrix… Expand
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