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Title: Operády v současné matematice (Czech)
Title: Operades in contemporary mathematics (English)
Author: Markl, Martin
Language: Czech
Journal: Pokroky matematiky, fyziky a astronomie
ISSN: 0032-2423
Volume: 48
Issue: 3
Year: 2003
Pages: 239-250
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Category: math
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MSC: 18D50
MSC: 55P48
MSC: 55R80
idZBL: Zbl 1247.18006
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Date available: 2010-12-11T20:02:58Z
Last updated: 2015-11-29
Stable URL: http://hdl.handle.net/10338.dmlcz/141182
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Reference: [1] Boardman, J. M., Vogt, R. M.: Homotopy Invariant Algebraic Structures on Topological Spaces.Springer-Verlag 1973. Zbl 0285.55012, MR 0420609
Reference: [2] Connes, A., Kreimer, D.: Renormalization in quantum field theory and the RiemannĦilbert problem I: The Hopf algebra structure of graphs and the main theorem.Comm. Math. Phys. 210 (1) (2000), 249–273. MR 1748177, 10.1007/s002200050779
Reference: [3] Fox, T. F., Markl, M.: Distributive laws, bialgebras, and cohomology.In: Operads: Proceedings of Renaissance Conferences, J. L. Loday, J. D Stasheff, A. A. Voronov, eds, Contemporary Math., svazek 202, str. 167–205, Amer. Math. Soc. 1997. Zbl 0866.18008, MR 1436921
Reference: [4] Getzler, E., Jones, J. D. S.: Operads, homotopy algebra, and iterated integrals for double loop spaces.Preprint hep-th/9403055, March 1994.
Reference: [5] Ginzburg, V., Kapranov, M. M.: Koszul duality for operads.Duke Math. J. 76 (1) (1994), 203–272. Zbl 0855.18006, MR 1301191, 10.1215/S0012-7094-94-07608-4
Reference: [6] Huang, Y.-Z.: Two-dimensional conformal geometry and vertex operator algebras.Birkhäuser Boston Inc., Boston, MA 1997. Zbl 0884.17021, MR 1448404
Reference: [7] Kontsevich, M, Soibelman, Y.: Deformations of algebras over operads and Deligne’s conjecture.Preprint math.QA/0001151, leden 2000. MR 1805894
Reference: [8] Loday, J.-L.: La renaissance des opérades.Séminarie Bourbaki 792, 47ème année 1994–95, 47–74.
Reference: [9] MacLane, S.: Natural associativity and commutativity.Rice Univ. Stud. 49 (1) (1963), 28–46. Zbl 0244.18008, MR 0170925
Reference: [10] Manin, Y. I.: Frobenius Manifolds, Quantum Cohomology, and Moduli Spaces.American Mathematical Society Colloquium Publications, svazek 47. American Mathematical Society, Providence, RI 1999. Zbl 0952.14032, MR 1702284
Reference: [11] Markl, M.: Homotopy algebras are homotopy algebras.Preprint math.AT/9907138, červenec 1999. MR 2034546
Reference: [12] Markl, M., Shnider, S., Stasheff, J. D.: Operads in Algebra, Topology and Physics.Mathematical Surveys and Monographs, svazek 96. American Mathematical Society, Providence, Rhode Island 2002. Zbl 1017.18001, MR 1898414
Reference: [13] May, J. P.: The Geometry of Iterated Loop Spaces.Lecture Notes in Mathematics 271, Springer-Verlag, New York 1972. Zbl 0244.55009, MR 0420610
Reference: [14] Vogt, R. M.: Cofibrant operads and universal $E_\infty $ operads.Preprint E99-005, 81–89, viz http://www.mathematik.uni-bielefeld.de/sfb343/preprints/index99.html Zbl 1076.18007, MR 1996461
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