BV structure on the Hochschild cohomology of Sullivan algebras - Egyptian Knowledge Bank

381466

BV structure on the Hochschild cohomology of Sullivan algebras

Article

Last updated: 29 Dec 2024

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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.

DOI

10.1016/j.joems.2017.03.001

Volume

Article Issue

Related Issue

50488

Issue Date

2017-09-01

Receive Date

2024-09-24

Publish Date

2017-09-01

Page Start

333

Page End

336

Print ISSN

1110-256X

Online ISSN

2090-9128

Article File

JOEMS_Volume 25_Issue 3_Pages 333-336.pdf

PDF . 297.2kB

Link

https://joems.journals.ekb.eg/article_381466.html

Detail API

https://joems.journals.ekb.eg/service?article_code=381466

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381,466

Publication Type

Journal

Publication Title

Journal of the Egyptian Mathematical Society

Publication Link

https://joems.journals.ekb.eg/

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