Multiplication on the tangent bundle
Algebraic Geometry
2007-05-23 v1 Quantum Algebra
Symplectic Geometry
Abstract
Manifolds with a commutative and associative multiplication on the tangent bundle are called F-manifolds if a unit field exists and the multiplication satisfies a natural integrability condition. They are studied here. They are closely related to discriminants and Lagrange maps. Frobenius manifolds are F-manifolds. As an application a conjecture of Dubrovin on Frobenius manifolds and Coxeter groups is proved.
Keywords
Cite
@article{arxiv.math/9910116,
title = {Multiplication on the tangent bundle},
author = {Claus Hertling},
journal= {arXiv preprint arXiv:math/9910116},
year = {2007}
}
Comments
88 pages, AMS-LaTeX