The work of Jan-Erik Roos on the cohomology of commutative rings.
Avramov, Luchezar L. (2002)
Homology, Homotopy and Applications
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Avramov, Luchezar L. (2002)
Homology, Homotopy and Applications
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Lazarev, A. (2003)
Homology, Homotopy and Applications
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Fröberg, R., Löfwal, C. (2002)
Homology, Homotopy and Applications
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Martin Markl, Stefan Papadima (1992)
Annales de l'institut Fourier
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We formulate first results of our larger project based on first fixing some easily accessible invariants of topological spaces (typically the cup product structure in low dimensions) and then studying the variations of more complex invariants such as (the homotopy Lie algebra) or (the graded Lie algebra associated to the lower central series of the fundamental group). We prove basic rigidity results and give also an application in low-dimensional topology.
Martin Markl (1989)
Annales de l'institut Fourier
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The problem of the characterization of graded Lie algebras which admit a realization as the homotopy Lie algebra of a space of type is discussed. The central results are formulated in terms of varieties of structure constants, several criterions for concrete algebras are also deduced.
Tadeusz Józefiak (1976)
Fundamenta Mathematicae
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Markl, Martin
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Summary: All algebraic objects in this note will be considered over a fixed field of characteristic zero. If not stated otherwise, all operads live in the category of differential graded vector spaces over . For standard terminology concerning operads, algebras over operads, etc., see either the original paper by [“The geometry of iterated loop spaces”, Lect. Notes Math. 271 (1972; Zbl 0244.55009)], or an overview [, “La renaissance des opérads”, Sémin. Bourbaki 1994/95, Exp. No....
Olga Kravchenko (2000)
Banach Center Publications
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We show that a graded commutative algebra A with any square zero odd differential operator is a natural generalization of a Batalin-Vilkovisky algebra. While such an operator of order 2 defines a Gerstenhaber (Lie) algebra structure on A, an operator of an order higher than 2 (Koszul-Akman definition) leads to the structure of a strongly homotopy Lie algebra (-algebra) on A. This allows us to give a definition of a Batalin-Vilkovisky algebra up to homotopy. We also make a conjecture...