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Derived Algebraic Geometry VI: E_k Algebras

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arxiv 0911.0018 v1 pith:AFBPTUOC submitted 2009-10-30 math.AT math.CT

Jacob Lurie This is my paper · ORCID
classification math.ATmath.CT
keywords algebrasalgebraicboardmancategorycubesderivedformalismgeometry
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In this paper, we study algebras over the little cubes operads introduced by Boardman and Vogt, using the formalism of higher category theory.

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Cited by 3 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Line Operators in 3d Holomorphic QFT: Meromorphic Tensor Categories and dg-Shifted Yangians

    hep-th 2025-08 conditional novelty 7.0 of 10

    In 3d holomorphic-topological QFTs, line operators and their OPEs are controlled by a Koszul-dual A-infinity algebra carrying a dg-shifted Yangian structure with a degree-1 r-matrix.

  2. A constructive proof for the simple connectedness of finite subset spaces

    math.AT 2026-02 conditional novelty 6.0 of 10

    For every path-connected space X and every n ≥ 4, every loop in the finite-subset space Ran≤n(X) can be explicitly contracted.

  3. Universal Properties of Variations of the Little Cubes Operads

    math.AT 2024-06 unverdicted novelty 6.0 of 10

    Proves universal property for parametrized little cubes operad E_B showing it as colimit of E_n over B, with descent for factorization algebras.

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