1. Crossed modules and cohomology of algebras over an operad
   2024/11/07 by Leray, Johan, Rivière, Salim, Wagemann, Friedrich · 1 citation
   #18D35 #18D50 #18G55 #Algebraic Topology (math.AT) #Category Theory (math.CT) #FOS: Mathematics #K-Theory and Homology (math.KT)
2. Kaledin classes and formality criteria
   2024/04/26 by Emprin, Coline · 5 citations
   #13D10 #17B60 16W25 #18D50 #18G55 #Algebraic Geometry (math.AG) #Algebraic Topology (math.AT) #FOS: Mathematics #Quantum Algebra (math.QA)
3. Operadic approach to HNN-extensions of Leibniz algebras
   2022/03/11 by Klein, Georg, Zargeh, Chia · 1 citation
   #05E15 #17A32 #17A99 #18D50 #FOS: Mathematics #Rings and Algebras (math.RA)
4. The Deligne-Mumford operad as a trivialization of the circle action
   2020/02/25 by Alexandru Oancea, Oancea, Alexandru, Dmitry Vaintrob +1 · 1 citation
   Mathematics · #14D22 #18D50 #18G30 #58D29 #Algebraic Topology (math.AT) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Geometry and complex manifolds #Homotopy and Cohomology in Algebraic Topology #K-Theory and Homology (math.KT) #Symplectic Geometry (math.SG)
5. 2-Dimensional Categories
   2020/02/14 by Niles Johnson, Donald Yau, Johnson, Niles +1 · 6 citations
   Mathematics · #18C15 #18D05 #18D10 #18D30 #18D50 #Algebraic Geometry (math.AG) #Algebraic Topology (math.AT) #Algebraic structures and combinatorial models #Category Theory (math.CT) #FOS: Mathematics #Finite Group Theory Research #Homotopy and Cohomology in Algebraic Topology #Primary: 18-01 #Quantum Algebra (math.QA) #Representation Theory (math.RT) #Secondary: 18A99
6. Moduli of framed formal curves
   2019/10/25 by Vaintrob, Dmitry · 1 citation
   #11G30 #14D22 #18D50 #18G55 #55P43 #55U40 #Algebraic Geometry (math.AG) #Algebraic Topology (math.AT) #FOS: Mathematics #Quantum Algebra (math.QA)
7. Properadic homotopical calculus
   2019/10/11 by Hoffbeck, Eric, Leray, Johan, Vallette, Bruno · 4 citations
   #16T10 #17B62 #18D50 #18G55 #Category Theory (math.CT) #FOS: Mathematics #Quantum Algebra (math.QA)
8. Invariant theory and wheeled PROPs
   2019/09/01 by Harm Derksen, Derksen, Harm, Visu Makam +1 · 2 citations
   Mathematics · #13A50 #15A72 #18D50 #Advanced Topics in Algebra #Algebraic structures and combinatorial models #Commutative Algebra (math.AC) #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology #Representation Theory (math.RT) #Rings and Algebras (math.RA)
9. Proofs and surfaces
   2019/07/05 by Baralic, Djordje, Curien, Pierre-Louis, Milicevic, Marina +4 · 1 citation
   #03F03 #18D50 #18G30 #51A05 #51A20 #FOS: Mathematics #Logic (math.LO)
10. Monoidal structures on the categories of quadratic data
    2019/02/11 by Manin, Yuri I., Vallette, Bruno · 1 citation
    #16S37 #18D10 #18D50 #Category Theory (math.CT) #FOS: Mathematics
11. The twisting procedure
    2018/10/06 by Vladimir Dotsenko, Sergey Shadrin, Dotsenko, Vladimir +3 · 2 citations
    Mathematics · #13D10 #16W60 #17B55 #18D50 #Advanced Topics in Algebra #Algebraic Topology (math.AT) #Algebraic structures and combinatorial models #Category Theory (math.CT) #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology #K-Theory and Homology (math.KT) #Quantum Algebra (math.QA) #Rings and Algebras (math.RA)
12. Delooping the functor calculus tower
    2017/08/07 by Julien Ducoulombier, Ducoulombier, Julien, V. I. Turchin +1 · 1 citation
    Mathematics · #18D50 #55P48 #55S37 #57Q35 #57Q45 #57R40 #57R45 #Advanced Topics in Algebra #Algebraic Topology (math.AT) #Algebraic structures and combinatorial models #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology
13. Algebraic operads up to homotopy
    2017/07/11 by Grignou, Brice Le · 1 citation
    #18D50 #55U99 #Algebraic Topology (math.AT) #FOS: Mathematics
14. On tortkara triple systems
    2017/06/12 by Bremner, Murray · 1 citation
    #15A72 #17-04 #17A30 #17A32 #17A50 #18D50 #20-04 #20C30 #68W30 #FOS: Mathematics #Primary 17A40. Secondary 15-04 #Quantum Algebra (math.QA) #Representation Theory (math.RT) #Rings and Algebras (math.RA)
15. Equivariant symmetric monoidal structures
    2016/10/10 by Michael A. Hill, Michael J. Hopkins, Hill, Michael A. +1 · 2 citations
    Mathematics · #18D35 #18D50 #19D23 #55N91 #Advanced Topics in Algebra #Algebraic Topology (math.AT) #Algebraic structures and combinatorial models #Category Theory (math.CT) #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology
16. Operads as polynomial 2-monads
    2014/12/24 by Mark Weber, Weber, Mark · 1 citation
    Mathematics · #18D20 #18D50 #55P48 #Advanced Topics in Algebra #Algebraic Topology (math.AT) #Algebraic structures and combinatorial models #Category Theory (math.CT) #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology
17. Operad groups and their finiteness properties
    2014/09/03 by Thumann, Werner · 2 citations
    #18D50 #20F05 #20F65 #57M07 #Algebraic Topology (math.AT) #FOS: Mathematics #Group Theory (math.GR)
18. Algebras of Open Dynamical Systems on the Operad of Wiring Diagrams
    2014/08/07 by Vagner, Dmitry, Spivak, David I., Lerman, Eugene · 2 citations
    #18B20 #18D50 #34G10 #34G20 #37C60 #93C35 #B.4.3 #Category Theory (math.CT) #Dynamical Systems (math.DS) #FOS: Mathematics
19. Operadic categories and Duoidal Deligne's conjecture
    2014/04/15 by Batanin, Michael, Markl, Martin · 1 citation
    #18D10 #18D20 #18D50 #Algebraic Topology (math.AT) #Category Theory (math.CT) #FOS: Mathematics
20. A chain level Batalin-Vilkovisky structure in string topology via de Rham chains
    2014/04/01 by Irie, Kei · 1 citation
    #18D50 #55P50 #57N75 #Algebraic Topology (math.AT) #FOS: Mathematics #Geometric Topology (math.GT)
21. Sequential multicategories
    2014/02/02 by Pisani, Claudio · 2 citations
    #18C10 #18D10 #18D50 #18D99 #18E05 #Category Theory (math.CT) #FOS: Mathematics
22. Operads with general groups of equivariance, and some 2-categorical\n aspects of operads in Cat
    2013/12/20 by Alexander S. Corner, Nick Gurski, Corner, Alexander S. +1 · 2 citations
    Mathematics · #18D05 #18D10 #18D50 #Advanced Topics in Algebra #Algebraic structures and combinatorial models #Category Theory (math.CT) #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology
23. The operad of temporal wiring diagrams: formalizing a graphical language for discrete-time processes
    2013/07/25 by Rupel, Dylan, Spivak, David I. · 1 citation
    #08A70 #18B20 #18D50 #68Q05 #91B74 #92B20 #93A13 #B.5.2 #B.7.2 #C.0 #C.1 #Category Theory (math.CT) #D.2.2 #D.2.6 #D.3.3 #F.1.1 #F.4.3 #FOS: Biological sciences #FOS: Computer and information sciences #FOS: Mathematics #Neurons and Cognition (q-bio.NC) #Programming Languages (cs.PL)
24. The operad of wiring diagrams: formalizing a graphical language for databases, recursion, and plug-and-play circuits
    2013/05/01 by David I. Spivak, Spivak, David I. · 4 citations
    Computer Science · #03B10 #03B70 #03D20 #18A15 #18B10 #18D50 #68P15 #94C99 #B.6 #Category Theory (math.CT) #D.1.6 #D.3.3 #Databases (cs.DB) #E.1 #F.4.1 #FOS: Computer and information sciences #FOS: Mathematics #Formal Methods in Verification #G.2.2 #G.4 #H.2.1 #H.2.3 #H.5 #Logic (math.LO) #Logic, Reasoning, and Knowledge #Logic, programming, and type systems
25. Some remarks on multicategories and additive categories
    2013/04/10 by Pisani, Claudio · 1 citation
    #18C10 #18D10 #18D30 #18D50 #18D99 #18E05 #Category Theory (math.CT) #FOS: Mathematics
26. A tale of three homotopies
    2012/08/23 by Dotsenko, Vladimir, Poncin, Norbert · 1 citation
    #18D50 #18G55 #Category Theory (math.CT) #FOS: Mathematics
27. Lax Monoidal Fibrations
    2009/12/22 by Zawadowski, Marek · 1 citation
    #18C15 #18D10 #18D30 #18D50 #Category Theory (math.CT) #FOS: Mathematics
28. Cyclic operad formality for compactified moduli spaces of genus zero\n surfaces
    2009/11/23 by Jeffrey Giansiracusa, Giansiracusa, Jeffrey, Paolo Salvatore +1 · 2 citations
    Mathematics · Physics and Astronomy · #14H15 #18D50 #55P48 #81Q30 #81T45 #Advanced Topics in Algebra #Algebraic Geometry and Number Theory #Algebraic Topology (math.AT) #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology #Nonlinear Waves and Solitons #Quantum Algebra (math.QA)
29. Free Products of Higher Operad Algebras
    2009/09/25 by Mark Weber, Weber, Mark · 1 citation
    Mathematics · #18A05 #18D20 #18D50 #55P48 #Advanced Topics in Algebra #Algebraic Topology (math.AT) #Algebraic structures and combinatorial models #Category Theory (math.CT) #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology
30. Freeness theorems for operads via Gröbner bases
    2009/07/28 by Dotsenko, Vladimir · 1 citation
    #08B20 #16S15 #18D50 #FOS: Mathematics #Rings and Algebras (math.RA)

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