Higher enveloping algebras

DOI10.2140/gt.2018.22.4013zbMath1460.17018arXiv1605.01391OpenAlexW2345511743WikidataQ128785063 ScholiaQ128785063MaRDI QIDQ1757331

Ben Knudsen

Publication date: 4 January 2019

Published in: Geometry \ Topology (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1605.01391

zbMATH Keywords

configuration spaceLie algebraenveloping algebrachiral algebrafactorization homology

Mathematics Subject Classification ID

Universal enveloping (super)algebras (17B35) Loop spaces (55P35) Discriminantal varieties and configuration spaces in algebraic topology (55R80) Homotopical algebra, Quillen model categories, derivators (18N40)

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An elementary proof of the homotopy invariance of stabilized configuration spaces, Projection spaces and twisted Lie algebras, Derived Poincaré-Birkhoff-Witt theorems. With an appendix by Vladimir Dotsenko, A geometric approach to equivariant factorization homology and nonabelian Poincaré duality, Poincaré/Koszul duality, The Lambrechts-Stanley model of configuration spaces, Linear Batalin-Vilkovisky quantization as a functor of \(\infty \)-categories, Configuration spaces of products, On the relation between K- and L-theory of \(C^*\)-algebras, Cohomology of generalized configuration spaces, Curved Koszul duality of algebras over unital versions of binary operads

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