Open AccessBV structure on the Hochschild cohomology of Sullivan algebras
Author(s) -
J.-B. Gatsinzi
Publication year - 2017
Publication title -
journal of the egyptian mathematical society
Language(s) - English
Resource type - Journals
eISSN - 2090-9128
pISSN - 1110-256X
DOI - 10.1016/j.joems.2017.03.001
Subject(s) - mathematics , cohomology , algebra over a field , pure mathematics , mathematics education
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