Quantum Cohomology of a Product

Details Quantum Cohomology of a Product Quantum Cohomology of a Product

1995-02-13

arxiv.org/abs/q-alg/9502009v1

Mathematics

Algebraic Geometry

AMSTex file, 30 pages. Figures (hard copies) available from Yu. Manin. Main paper by M. Kontsevich, Yu. Manin, appendix by R.

Scientific paper

10.1007/s002220050055

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.

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