Quantum Cohomology of a Product
q-alg
2009-10-28 v1 alg-geom
Algebraic Geometry
Quantum Algebra
Abstract
The operation of tensor product of Cohomological Field Theories (or algebras over genus zero moduli operad) introduced in an earlier paper by the authors is described in full detail, and the proof of a theorem on additive relations between strata classes is given. This operation is a version of the Kuenneth formula for quantum cohomology. In addition, rank one CohFT's are studied, and a generalization of Zograf's formula for Weil-Petersson volumes is suggested.
Keywords
Cite
@article{arxiv.q-alg/9502009,
title = {Quantum Cohomology of a Product},
author = {M. Kontsevich and Yu. Manin and R. Kaufmann},
journal= {arXiv preprint arXiv:q-alg/9502009},
year = {2009}
}
Comments
AMSTex file, 30 pages. Figures (hard copies) available from Yu. Manin. Main paper by M. Kontsevich, Yu. Manin, appendix by R. Kaufmann