Givental symmetries of Frobenius manifolds and multi-component KP tau-functions

  title={Givental symmetries of Frobenius manifolds and multi-component KP tau-functions},
  author={E. Feigin and J. Leur and S. Shadrin},
  journal={Advances in Mathematics},
We establish a link between two different constructions of the action of the twisted loop group on the space of Frobenius structures. The first construction (due to Givental) describes the action of the twisted loop group on the partition functions of formal (axiomatic) Gromov–Witten theories. The explicit formulas for the corresponding tangent action were computed by Y.-P. Lee. The second construction (due to van de Leur) describes the action of the same group on the space of Frobenius… Expand
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