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

Andrew J. Blumberg; Michael A. Mandell

arxiv: 1801.03549 · v1 · pith:IVND6IO2new · submitted 2018-01-10 · 🧮 math.AT

E₂ Structures and Derived Koszul Duality in String Topology

Andrew J. Blumberg , Michael A. Mandell This is my paper

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keywords deriveddualitykoszulalgebrascohomologyconstructdescribeequivalence

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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.

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E₂ Structures and Derived Koszul Duality in String Topology

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