The homotopy Lie algebra for finite complexes
Yves Félix, Stephen Halperin, Jean-Claude Thomas (1982)
Publications Mathématiques de l'IHÉS
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Yves Félix, Stephen Halperin, Jean-Claude Thomas (1982)
Publications Mathématiques de l'IHÉS
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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.
Ch. Deninger, W. Singhof (1988)
Bulletin de la Société Mathématique de France
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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.
L. M. Camacho, J. R. Gómez, R. M. Navarro (2000)
Extracta Mathematicae
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J. C. McConnell (1975)
Annales scientifiques de l'École Normale Supérieure
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