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arxiv: 1412.3614 · v1 · pith:B7XWUXAQnew · submitted 2014-12-11 · 🧮 math.QA

Operadic Torsors

Ricardo Campos , Thomas Willwacher This is my paper
classification 🧮 math.QA
keywords operadicoperadsquasi-torsorsapplicationarguablyconjecturedeligne
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We introduce the notion of operadic torsors and operadic quasi-torsors. We show that if an operadic (quasi-)torsor between two operads exists, then these operads are (quasi-)isomorphic. As an application we present the (arguably) shortest known proof of the Deligne conjecture.

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  1. Homotopy Frobenius structures on the cohomology of a manifold

    math.AT 2026-06 unverdicted novelty 8.0

    Cohomology of parallelized n-manifolds carries a natural homotopy involutive n-Frobenius structure extending the rational homotopy type, via Quillen equivalence to n-Poisson cooperad comodules.