BV structure on the Hochschild cohomology of Sullivan algebras
(2017). BV structure on the Hochschild cohomology of Sullivan algebras. EKB Journal Management System, 25(3), 333-336. doi: 10.1016/j.joems.2017.03.001
. "BV structure on the Hochschild cohomology of Sullivan algebras". EKB Journal Management System, 25, 3, 2017, 333-336. doi: 10.1016/j.joems.2017.03.001
(2017). 'BV structure on the Hochschild cohomology of Sullivan algebras', EKB Journal Management System, 25(3), pp. 333-336. doi: 10.1016/j.joems.2017.03.001
BV structure on the Hochschild cohomology of Sullivan algebras. EKB Journal Management System, 2017; 25(3): 333-336. doi: 10.1016/j.joems.2017.03.001

BV structure on the Hochschild cohomology of Sullivan algebras

Journal of the Egyptian Mathematical Society
Volume 25, Issue 3, 2017, Page 333-336  XML PDF (290.28 K)
DOI: 10.1016/j.joems.2017.03.001
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Abstract
Let X be a closed, simply connected manifold of dimension m and LX the space of free loops on X. If (∧V, d) is the minimal Sullivan model of X where V is finite dimensional, then there is a Gerstenhaber algebra (∧V  ∧s−1V #, d0 ), where V # is the graded dual of V, and its homology is isomorphic to the loop space homology H∗ (LX). In this paper we define a BV structure on (∧V  ∧s−1V #, d0 ) which extends the Gerstenhaber bracket.
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