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arXiv · 1106.1856

Homotopy DG algebras induce homotopy BV algebras

John Terilla·Thomas Tradler·Scott O. Wilson
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Abstract

Let TA denote the space underlying the tensor algebra of a vector space A. In this short note, we show that if A is a differential graded algebra, then TA is a differential Batalin-Vilkovisky algebra. Moreover, if A is an A-infinity algebra, then TA is a commutative BV-infinity algebra.

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John Terilla, Thomas Tradler, Scott O. Wilson. 2011-06-09. Homotopy DG algebras induce homotopy BV algebras. https://arxiv.org/abs/1106.1856

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