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Communications in Algebra Volume 24, 1996 - Issue 4
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Original Articles

Models for operads

Martin Markl Mathematical Institute of the Academy, Praha 1, Žitná 25, The Czech Republic, 115 67 E-mail: markl@earn. cvut . cz
Pages 1471-1500 | Received 01 Apr 1995, Published online: 20 Oct 2011

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Murray R. Bremner & Juana Sánchez-Ortega. (2017) Quadratic nonsymmetric quaternary operads. Linear and Multilinear Algebra 65:8, pages 1683-1703.
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Liivi Kluge, Eugen Paal & Jim Stasheff. (2000) Invitation to composition. Communications in Algebra 28:3, pages 1405-1422.
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Vladimir Hinich. (1997) Homological algebra of homotopy algebras. Communications in Algebra 25:10, pages 3291-3323.
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Articles from other publishers (59)

David White & Donald Yau. (2024) Smith ideals of operadic algebras in monoidal model categories. Algebraic & Geometric Topology 24:1, pages 341-392.
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Vladimir Dotsenko & Anton Khoroshkin. (2024) Homotopical rigidity of the pre-Lie operad. Proceedings of the American Mathematical Society.
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Michael Batanin & Martin Markl. (2024) Operads, Operadic Categories and the Blob Complex. Applied Categorical Structures 32:1.
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Richard Garner. (2023) Hypernormalisation in an abstract setting. Information and Computation 293, pages 105044.
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Michael Batanin, Martin Markl & Jovana Obradović. (2023) Minimal models for graph-related (hyper)operads. Journal of Pure and Applied Algebra 227:7, pages 107329.
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Michael Batanin & Martin Markl. (2023) Koszul duality for operadic categories. Compositionality 5, pages 4.
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Michael Batanin & Martin Markl. (2023) Operadic categories as a natural environment for Koszul duality. Compositionality 5, pages 3.
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Philippe Malbos & Isaac Ren. (2022) Shuffle polygraphic resolutions for operads. Journal of the London Mathematical Society 107:1, pages 61-122.
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Agustí Roig. (2022) Up-to-homotopy algebras with strict units. Journal of Pure and Applied Algebra 226:6, pages 106958.
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Najib IdrissiNajib Idrissi. 2022. Real Homotopy of Configuration Spaces. Real Homotopy of Configuration Spaces 127 172 .
Tai-Danae Bradley. (2021) Entropy as a Topological Operad Derivation. Entropy 23:9, pages 1195.
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Agustí Roig. 2021. Extended Abstracts GEOMVAP 2019. Extended Abstracts GEOMVAP 2019 7 13 .
Domenico Fiorenza & Niels Kowalzig. (2020) Higher Brackets on Cyclic and Negative Cyclic (Co)Homology. International Mathematics Research Notices 2020:23, pages 9148-9209.
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FATEMEH BAGHERZADEH & MURRAY BREMNER. (2019) OPERADIC APPROACH TO COHOMOLOGY OF ASSOCIATIVE TRIPLE AND N -TUPLE SYSTEMS . Glasgow Mathematical Journal 62:S1, pages S128-S141.
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Martin Markl. (2020) Permutads via operadic categories, and the hidden associahedron. Journal of Combinatorial Theory, Series A 175, pages 105277.
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Fernando Muro. (2019) Enhanced $$A_{\infty }$$-obstruction theory. Journal of Homotopy and Related Structures 15:1, pages 61-112.
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Fatemeh Bagherzadeh & Murray Bremner. 2020. Leavitt Path Algebras and Classical K-Theory. Leavitt Path Algebras and Classical K-Theory 139 155 .
Martin Doubek, Branislav Jurčo, Martin Markl & Ivo SachsMartin Doubek, Branislav Jurčo, Martin Markl & Ivo Sachs. 2020. Algebraic Structure of String Field Theory. Algebraic Structure of String Field Theory 185 217 .
Martin Doubek, Branislav Jurčo, Martin Markl & Ivo SachsMartin Doubek, Branislav Jurčo, Martin Markl & Ivo Sachs. 2020. Algebraic Structure of String Field Theory. Algebraic Structure of String Field Theory 95 157 .
Paolo Salvatore. (2019) Planar non-formality of the little discs operad in characteristic two. The Quarterly Journal of Mathematics 70:2, pages 689-701.
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Donald YauDonald Yau. 2018. Operads of Wiring Diagrams. Operads of Wiring Diagrams 13 37 .
Vladimir Dotsenko & Norbert Poncin. (2015) A Tale of Three Homotopies. Applied Categorical Structures 24:6, pages 845-873.
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Fernando Muro. (2016) Cylinders for non-symmetric DG-operads via homological perturbation theory. Journal of Pure and Applied Algebra 220:9, pages 3248-3281.
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Valerio Melani. (2016) Poisson bivectors and Poisson brackets on affine derived stacks. Advances in Mathematics 288, pages 1097-1120.
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Martin Markl. (2015) An -extension of the associahedra and the Tamarkin cell mystery . Journal of Geometry and Physics 98, pages 446-471.
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Martin Markl & Elisabeth Remm. (2014) (Non-)Koszulness of operads for $$n$$ n -ary algebras, galgalim and other curiosities. Journal of Homotopy and Related Structures 10:4, pages 939-969.
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Martin Markl. (2013) Bipermutahedron and biassociahedron. Journal of Homotopy and Related Structures 10:2, pages 205-238.
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Fernando Muro. (2015) Homotopy units in $A$-infinity algebras. Transactions of the American Mathematical Society 368:3, pages 2145-2184.
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N. Kowalzig. (2015) Gerstenhaber and Batalin-Vilkovisky Structures on Modules over Operads. International Mathematics Research Notices.
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Dan Petersen. (2013) Minimal models, GT-action and formality of the little disk operad. Selecta Mathematica 20:3, pages 817-822.
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Gabriel C. Drummond-Cole & Bruno Vallette. (2012) The minimal model for the Batalin–Vilkovisky operad. Selecta Mathematica 19:1, pages 1-47.
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Martin Doubek. (2012) Gerstenhaber–Schack diagram cohomology from the operadic point of view. Journal of Homotopy and Related Structures 7:2, pages 165-206.
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Jean-Louis Loday & Bruno ValletteJean-Louis Loday & Bruno Vallette. 2012. Algebraic Operads. Algebraic Operads 193 228 .
K. Uchino. (2011) Derived brackets and sh Leibniz algebras. Journal of Pure and Applied Algebra 215:5, pages 1102-1111.
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Benoit Fresse. (2011) Iterated bar complexes of E –infinity algebras and homology theories . Algebraic & Geometric Topology 11:2, pages 747-838.
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Volodymyr Lyubashenko. (2011) Homotopy unital -algebras . Journal of Algebra 329:1, pages 190-212.
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Elisabeth Remm & Michel Goze. (2011) On algebras obtained by tensor product. Journal of Algebra 327:1, pages 13-30.
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Vasiliy Dolgushev, Dmitry Tamarkin & Boris Tsygan. (2009) Formality Theorems for Hochschild Complexes and Their Applications. Letters in Mathematical Physics 90:1-3, pages 103-136.
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Anita Majumdar & Donald Yau. (2009) Cohomology with coefficients for operadic coalgebras. Proceedings - Mathematical Sciences 119:4, pages 431-452.
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M. Markl, S. Merkulov & S. Shadrin. (2009) Wheeled PROPs, graph complexes and the master equation. Journal of Pure and Applied Algebra 213:4, pages 496-535.
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Anita Majumdar & Donald Yau. (2009) Cohomology and duality for coalgebras over a quadratic operad. Journal of Generalized Lie Theory and Applications 3:2, pages 131-148.
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M. Markl & A. A. Voronov. 2009. Algebra, Arithmetic, and Geometry. Algebra, Arithmetic, and Geometry 249 281 .
Bruno Vallette. (2008) Manin products, Koszul duality, Loday algebras and Deligne conjecture. Journal für die reine und angewandte Mathematik (Crelles Journal) 2008:620.
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Martin Markl. 2008. 87 140 .
M. Markl. (2007) Cohomology operations and the deligne conjecture. Czechoslovak Mathematical Journal 57:1, pages 473-503.
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Martin Markl. (2006) A resolution (minimal model) of the PROP for bialgebras. Journal of Pure and Applied Algebra 205:2, pages 341-374.
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Hiroshige Kajiura & Jim Stasheff. (2006) Open-closed homotopy algebra in mathematical physics. Journal of Mathematical Physics 47:2.
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V. Navarro, P. Pascual, A. Roig & F. Guillén Santos. (2005) Moduli spaces and formal operads. Duke Mathematical Journal 129:2.
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Martin Markl. (2004) Homotopy algebras are homotopy algebras. Forum Mathematicum 16:1.
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S. A. Merkulov. 2004. Frobenius Manifolds. Frobenius Manifolds 213 251 .
Steven Duplij, WŁadysŁaw Marcinek, Francesco Toppan, Vladimir Dobrev, Valentina Petkova, Omer Faruk Dayi, Evgeniy Ivanov & Steven Duplij. 2004. Concise Encyclopedia of Supersymmetry. Concise Encyclopedia of Supersymmetry 284 284 .
Justin R Smith. (2003) Cofree coalgebras over operads. Topology and its Applications 133:2, pages 105-138.
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Ionuţ Ciocan-Fontanine & Mikhail Kapranov. (2002) Derived Hilbert schemes. Journal of the American Mathematical Society 15:4, pages 787-815.
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David Chataur. (2002) Formes différentielles généralisées sur une opérade et modèles algébriques des fibrations. Algebraic & Geometric Topology 2:1, pages 51-93.
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Alexander A. Voronov. 2000. Conférence Moshé Flato 1999. Conférence Moshé Flato 1999 307 331 .
Martin Markl. (1999) A Compactification of the Real Configuration Space as an Operadic Completion. Journal of Algebra 215:1, pages 185-204.
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David Balavoine. (1998) Homology and cohomology with coefficients, of an algebra over a quadratic operad. Journal of Pure and Applied Algebra 132:3, pages 221-258.
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Benoit Fresse. (1998) Lie Theory of Formal Groups over an Operad. Journal of Algebra 202:2, pages 455-511.
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Martin Markl. (1996) Cotangent cohomology of a category and deformations. Journal of Pure and Applied Algebra 113:2, pages 195-218.
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