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arXiv · 0711.0339

Twisted Gromov-Witten r-spin potential and Givental's quantization

Alessandro Chiodo·Dimitri Zvonkine
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Abstract

The universal curve p:C->\Mbar over the moduli space \Mbar of stable r-spin maps to a target Kähler manifold X carries a universal spinor bundle L->C. Therefore the moduli space \Mbar itself carries a natural K-theory class Rp_*L. We introduce a twisted r-spin Gromov-Witten potential of X enriched with Chern characters of Rp_*L. We show that the twisted potential can be reconstructed from the ordinary r-spin Gromov-Witten potential of X via an operator that assumes a particularly simple form in Givental's quantization formalism.

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Alessandro Chiodo, Dimitri Zvonkine. 2007-11-02. Twisted Gromov-Witten r-spin potential and Givental's quantization. https://arxiv.org/abs/0711.0339

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