dorsal/arxiv
View SchemaHomotopy Gerstenhaber algebras and topological field theory
| Authors | Takashi Kimura, Alexander A. Voronov, Gregg J. Zuckerman |
|---|---|
| Categories | |
| ArXiv ID | q-alg/9602009 |
| URL | https://arxiv.org/abs/q-alg/9602009 |
Abstract
We prove that the BRST complex of a topological conformal field theory is a homotopy Gerstenhaber algebra, as conjectured by Lian and Zuckerman in 1992. We also suggest a refinement of the original conjecture for topological vertex operator algebras. We illustrate the usefulness of our main tools, operads and "string vertices" by obtaining new results on Vassiliev invariants of knots and double loop spaces.
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"abstract": "We prove that the BRST complex of a topological conformal field theory is a\nhomotopy Gerstenhaber algebra, as conjectured by Lian and Zuckerman in 1992. We\nalso suggest a refinement of the original conjecture for topological vertex\noperator algebras. We illustrate the usefulness of our main tools, operads and\n\"string vertices\" by obtaining new results on Vassiliev invariants of knots and\ndouble loop spaces.",
"arxiv_id": "q-alg/9602009",
"authors": [
"Takashi Kimura",
"Alexander A. Voronov",
"Gregg J. Zuckerman"
],
"categories": [
"q-alg",
"hep-th",
"math.QA"
],
"title": "Homotopy Gerstenhaber algebras and topological field theory",
"url": "https://arxiv.org/abs/q-alg/9602009"
},
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