A Change of Coordinates on the Large Phase Space of Quantum Cohomology
Abstract
The GromovWitten invariants of a smooth, projective variety $V$, when twisted by the tautological classes on the moduli space of stable maps, give rise to a family of cohomological field theories and endow the base of the family with coordinates. We prove that the potential functions associated to the tautological $\psi$ classes (the large phase space) and the $\kappa$ classes are related by a change of coordinates which generalizes a change of basis on the ring of symmetric functions. Our result is a generalization of the work of ManinZograf who studied the case where $V$ is a point. We utilize this change of variables to derive the topological recursion relations associated to the $\kappa$ classes from those associated to the $\psi$ classes.
 Publication:

arXiv Mathematics eprints
 Pub Date:
 July 1999
 arXiv:
 arXiv:math/9907096
 Bibcode:
 1999math......7096K
 Keywords:

 Algebraic Geometry;
 Quantum Algebra
 EPrint:
 24 pages, no figures