Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
6898971 | Journal of the Egyptian Mathematical Society | 2017 | 4 Pages |
Abstract
Let X be a closed, simply connected manifold of dimension m and LX the space of free loops on X. If (â§V, d) is the minimal Sullivan model of X where V is finite dimensional, then there is a Gerstenhaber algebra (â§Vââ§sâ1V#,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 (â§Vââ§sâ1V#,d0) which extends the Gerstenhaber bracket.
Keywords
Related Topics
Physical Sciences and Engineering
Computer Science
Computer Science (General)
Authors
J.-B. Gatsinzi,