Koszul self duality of manifolds

2023/05/11 by Connor Malin, Malin, Connor
Mathematics · #55M05 (Secondary) #57N65 (Primary) 18M70 #Advanced Topics in Algebra #Algebraic Topology (math.AT) #Algebraic structures and combinatorial models #FOS: Mathematics #Geometric Topology (math.GT) #Homotopy and Cohomology in Algebraic Topology

paper · pdf · doi:10.48550/arxiv.2305.06964

openalex publication_date 2023/05/11 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We show that Koszul duality for operads in (Top,×) can be expressed via generalized Thom complexes. As an application, we prove the Koszul self duality of the little disk modules E_M. We discuss implications for factorization homology, embedding calculus, and confirm an old conjecture of Ching on the relation of Goodwillie calculus to manifold calculus.

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