Advanced Search
Home > Journals > Algebr. Geom. Topol. > Volume 19 > Issue 1 > Article
Open Access
2019 $E_2$ structures and derived Koszul duality in string topology
Andrew J Blumberg, Michael A Mandell
Algebr. Geom. Topol. 19(1): 239-279 (2019). DOI: 10.2140/agt.2019.19.239

Abstract

We construct an equivalence of E 2 algebras between two models for the Thom spectrum of the free loop space that are related by derived Koszul duality. To do this, we describe the functoriality and invariance properties of topological Hochschild cohomology.

Citation

Download Citation

Andrew J Blumberg. Michael A Mandell. "$E_2$ structures and derived Koszul duality in string topology." Algebr. Geom. Topol. 19 (1) 239 - 279, 2019. https://doi.org/10.2140/agt.2019.19.239

Information

Received: 12 January 2018; Revised: 8 August 2018; Accepted: 25 September 2018; Published: 2019
First available in Project Euclid: 12 February 2019

zbMATH: 07053574
MathSciNet: MR3910581
Digital Object Identifier: 10.2140/agt.2019.19.239

Subjects:
Primary: 55P50
Secondary: 16D90 , 16E40

Keywords: $E_2$ algebra , centralizer condition , derived Koszul duality , string topology , topological Hochschild cohomology

Rights: Copyright © 2019 Mathematical Sciences Publishers

JOURNAL ARTICLE
 41 PAGES
DOWNLOAD PDF + SAVE TO MY LIBRARY
GET CITATION
< Previous Article
|
Next Article >
Vol.19 • No. 1 • 2019
MSP
Subscribe to Project Euclid
Receive erratum alerts for this article
Back to Top