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Formal Formality of the Hypercommutative Algebras of Low Dimensional Calabi–Yau Varieties

Communications in Mathematical Physics volume 327, pages 433–441 (2014)Cite this article

Abstract

There is a homotopy hypercommutative algebra structure on the cohomology of a Calabi–Yau variety. The truncation of this homotopy hypercommutative algebra to a strict hypercommutative algebra is well-known as a mathematical realization of the genus zero B-model. It is shown that this truncation loses no information for some cases, including all Calabi–Yau 3-folds.

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Authors and Affiliations

  1. Center for Geometry and Physics, Institute for Basic Science (IBS), Pohang, 790-784, Republic of Korea

    Gabriel C. Drummond-Cole

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  1. Gabriel C. Drummond-Cole
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Correspondence to Gabriel C. Drummond-Cole.

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Communicated by N. A. Nekrasov

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Drummond-Cole, G.C. Formal Formality of the Hypercommutative Algebras of Low Dimensional Calabi–Yau Varieties. Commun. Math. Phys. 327, 433–441 (2014). https://doi.org/10.1007/s00220-014-2018-9

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  • DOI: https://doi.org/10.1007/s00220-014-2018-9

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