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We introduce a new approach to constructing derived deformation groupoids, by considering them as parameter spaces for strong homotopy bialgebras.
Rational homotopy theory
Daniel Quillen · 1969
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Complexe cotangent et déformations. I
Luc Illusie · 1971
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Bicohomology theory
Donovan H. Van Osdol · 1973
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The homology of iterated loop spaces
Frederick R. Cohen, Thomas J. Lada, and J. Peter May · 1976
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Topics in algebra — deformation theory
Maxim Kontsevich · 1994
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An introduction to homological algebra
Charles A. Weibel · 1994
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Technique de descente et théorèmes d’existence en géométrie algébrique. II. Le théorème d’existence en théorie formelle des modules
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J. P. Pridham · 2006
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J. P. Pridham · 2008
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Pro-algebraic homotopy types
J. P. Pridham · 2008
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Lie atoms and their deformations
Ziv Ran · 2008
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The homotopy theory of strong homotopy algebras and bialgebras
J. P. Pridham · 2009
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Unifying derived deformation theories
J. P. Pridham · 2009
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