Keyword

operads

Description: Algebraic structures that encode operations and their compositions, used to study algebraic properties and homotopy theory.

Primary topic: Homotopy and Cohomology in Algebraic Topology (70%)

Wikidata ID: wiki/Q842072

OpenAlex ID: keywords/operads

Koszul duality for operads

1994 · Victor Ginzburg, Mikhail Kapranov · Duke Mathematical Journal · 764

Higher Operads, Higher Categories

2004 · Tom Leinster · Cambridge University Press eBooks · 661

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Algebraic Operads

2012 · Jean-Louis Loday, Bruno Vallette · Grundlehren der mathematischen Wissenschaften · 603

Frobenius Manifolds, Quantum Cohomology, and Moduli Spaces

1999 · Yuri Manin · Colloquium Publications - American Mathematical Society/Colloquium Publications · 522

Operads and Motives in Deformation Quantization

1999 · Maxim Kontsevich · Letters in Mathematical Physics · 501

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Operads in Algebra, Topology and Physics

2007 · Martin Markl, Steve Shnider, et al. · Mathematical surveys and monographs · 465

Homotopical algebraic geometry. II. Geometric stacks and applications

2008 · Bertrand Toën, Gabriele Vezzosi · Memoirs of the American Mathematical Society · 395

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Pre-Lie algebras and the rooted trees operad

2001 · Frédéric Chapoton, Muriel Livernet · International Mathematics Research Notices · 381

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Operads, homotopy algebra and iterated integrals for double loop spaces

1994 · Getzler, Ezra, Jones, J. D. S. · arXiv (Cornell University) · 374

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Axiomatic homotopy theory for operads

2003 · Clemens Berger, Ieke Moerdijk · Commentarii Mathematici Helvetici · 338

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Configuration-spaces and iterated loop-spaces

1973 · Graeme Segal · Inventiones mathematicae · 295

Batalin-Vilkovisky algebras and two-dimensional topological field theories

1994 · E. Getzler · Communications in Mathematical Physics · 291

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Monoidal Globular Categories As a Natural Environment for the Theory of Weakn-Categories

1998 · M.A. Batanin · Advances in Mathematics · 264

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Dialgebras and Related Operads

2001 · Jean-Louis Loday, Frédéric Chapoton, et al. · Lecture notes in mathematics · 262

Modules over Operads and Functors

2009 · Benoit Fresse · Lecture notes in mathematics · 261

Category theory for the sciences

2015 · Choice Reviews Online · 233

Higher-Dimensional Algebra III.n-Categories and the Algebra of Opetopes

1998 · John C. Baez, James Dolan · Advances in Mathematics · 219

Trialgebras and families of polytopes

2004 · Jean-Louis Loday, María Ronco · Contemporary mathematics - American Mathematical Society · 218

Homology of generalized partition posets

2006 · Bruno Vallette · Journal of Pure and Applied Algebra · 203

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Homotopy G-algebras and moduli space operad

1995 · Murray Gerstenhaber, Alexander Voronov · International Mathematics Research Notices · 201

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A homotopy theoretic realization of string topology

2002 · R.L. Cohen, J.D.S. Jones · Mathematische Annalen · 192

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Operads, algebras, modules and motives

2018 · I. KRIZ, J.P. MAY · Astérisque · 179

Splitting of Operations, Manin Products, and Rota–Baxter Operators

2012 · Chengming Bai, Olivia Bellier, et al. · International Mathematics Research Notices · 177

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Operads and PROPs

2008 · Martin Markl · Handbook of algebra · 171

A Koszul duality for props

2007 · Bruno Vallette · Transactions of the American Mathematical Society · 150

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Works count: 2,127

Citation count: 22,570