Multiplication on the tangent bundle
Abstract
Manifolds with a commutative and associative multiplication on the tangent bundle are called Fmanifolds 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 Fmanifolds. As an application a conjecture of Dubrovin on Frobenius manifolds and Coxeter groups is proved.
 Publication:

arXiv Mathematics eprints
 Pub Date:
 October 1999
 arXiv:
 arXiv:math/9910116
 Bibcode:
 1999math.....10116H
 Keywords:

 Algebraic Geometry;
 Quantum Algebra;
 Symplectic Geometry
 EPrint:
 88 pages, AMSLaTeX