Symplectic geometry of Frobenius structures
Algebraic Geometry
2007-05-23 v1
Abstract
The purpose of the notes is to reiterate and expand the viewpoint, outlined in the paper math.AG/0110142 of T. Coates and the author, which recasts the concept of Frobenius manifold in terms of linear symplectic geometry and exposes the role of the twisted loop group L^{(2)}GL_N of hidden symmetries. New applications include a several line proof of the genus 0 Virasoro constraints and the quantum Hirzebruch-Riemann-Roch theorem in the theory of cobordism-valued Gromov-Witten invariants.
Cite
@article{arxiv.math/0305409,
title = {Symplectic geometry of Frobenius structures},
author = {Alexander Givental},
journal= {arXiv preprint arXiv:math/0305409},
year = {2007}
}
Comments
22 pages