Homotopy DG algebras induce homotopy BV algebras

Details Homotopy DG algebras induce homotopy BV algebras Homotopy DG algebras induce homotopy BV algebras

2011-06-09

arxiv.org/abs/1106.1856v1

Mathematics

Quantum Algebra

6 pages, accepted by JHRS

Scientific paper

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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