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A version of the goldman-millson theorem for filtered L<inf>∞</inf>-algebras
Dolgushev, VA Rogers, CL
Dolgushev, VA
Rogers, CL
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Journal Article
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2015-05-05
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10.1016/j.jalgebra.2015.01.032
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© 2015 Elsevier Inc. In this paper we consider L∞-algebras equipped with complete descending filtrations. We prove that, under some mild conditions, an L∞ quasi-isomorphism U:L→L~ induces a weak equivalence between the Deligne-Getzler-Hinich (DGH) ∞-groupoids corresponding to L and L~, respectively. This paper may be considered as a modest addition to foundational paper [10] by Ezra Getzler.
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Elsevier BV
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Journal of Algebra
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