Geodesic
E2 structures and derived Koszul duality in string topology
Blumberg, Andrew1 ; Mandell, Michael2
1 Department of Mathematics, The University of Texas, Austin, TX, United States
2 Department of Mathematics, Indiana University, Bloomington, IN, United States
Algebraic and Geometric Topology, Tome 19 (2019) no. 1, pp. 239-279

Voir la notice de l'article provenant de la source Mathematical Sciences Publishers

We construct an equivalence of E2 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.

DOI : 10.2140/agt.2019.19.239
Classification : 55P50, 16D90, 16E40
Keywords: topological Hochschild cohomology, string topology, derived Koszul duality, $E_2$ algebra, centralizer condition

Blumberg, Andrew 1 ; Mandell, Michael 2

1 Department of Mathematics, The University of Texas, Austin, TX, United States
2 Department of Mathematics, Indiana University, Bloomington, IN, United States 
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Blumberg, Andrew; Mandell, Michael. E2 structures and derived Koszul duality in string topology. Algebraic and Geometric Topology, Tome 19 (2019) no. 1, pp. 239-279. doi: 10.2140/agt.2019.19.239

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