dorsal/arxiv
View SchemaQuantum Cohomology of a Product
| Authors | M. Kontsevich, Yu. Manin, R. Kaufmann |
|---|---|
| Categories | |
| ArXiv ID | q-alg/9502009 |
| URL | https://arxiv.org/abs/q-alg/9502009 |
| DOI | 10.1007/s002220050055 |
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.
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"abstract": "The operation of tensor product of Cohomological Field Theories (or algebras\nover genus zero moduli operad) introduced in an earlier paper by the authors is\ndescribed in full detail, and the proof of a theorem on additive relations\nbetween strata classes is given. This operation is a version of the Kuenneth\nformula for quantum cohomology. In addition, rank one CohFT\u0027s are studied, and\na generalization of Zograf\u0027s formula for Weil-Petersson volumes is suggested.",
"arxiv_id": "q-alg/9502009",
"authors": [
"M. Kontsevich",
"Yu. Manin",
"R. Kaufmann"
],
"categories": [
"q-alg",
"alg-geom",
"math.AG",
"math.QA"
],
"doi": "10.1007/s002220050055",
"title": "Quantum Cohomology of a Product",
"url": "https://arxiv.org/abs/q-alg/9502009"
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