Geometry/Topology Seminar
Tuesday, October 5, 1999, 4:00pm, 120 Physics
Sasha Kabonov (ETH Zuerich)
Change of Coordinates on the Large Phase Space of Quantum Cohomology
Abstract:- (Joint work with T. Kimura)
The Gromov-Witten 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 compare the potential
functions associated to different choices of tautological classes, and
prove that they are related by an explicit change of coordinates that
resembles a change of basis on the ring of symmetric functions. This
generalizes a result of Kaufmann--Manin--Zagier and Manin--Zograf who
studied the case where V is a point.
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