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

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

2007-11-02

arxiv.org/abs/0711.0339v1

Mathematics

Algebraic Geometry

25 pages, 3 figures

Scientific paper

The universal curve p:C->\Mbar over the moduli space \Mbar of stable r-spin maps to a target K\"ahler 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.

Affiliated with

Also associated with

No associations

Rating

Twisted Gromov-Witten r-spin potential and Givental's quantization does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Twisted Gromov-Witten r-spin potential and Givental's quantization, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Twisted Gromov-Witten r-spin potential and Givental's quantization will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-437898