English

$E_{2}$ Structures and Derived Koszul Duality in String Topology

Algebraic Topology 2019-02-13 v1

Abstract

We construct an equivalence of E2E_{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.

Keywords

Cite

@article{arxiv.1801.03549,
  title  = {$E_{2}$ Structures and Derived Koszul Duality in String Topology},
  author = {Andrew J. Blumberg and Michael A. Mandell},
  journal= {arXiv preprint arXiv:1801.03549},
  year   = {2019}
}
R2 v1 2026-06-22T23:42:05.751Z