BV structure on the Hochschild cohomology of Sullivan algebras

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 l...

Full description

Bibliographic Details
Main Author: J.-B. Gatsinzi
Format: Article
Language:English
Published: SpringerOpen 2017-07-01
Series:Journal of the Egyptian Mathematical Society
Subjects:
Online Access:http://www.sciencedirect.com/science/article/pii/S1110256X17300184