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    A version of the goldman-millson theorem for filtered L<inf>∞</inf>-algebras

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    Genre
    Journal Article
    Date
    2015-05-05
    Author
    Dolgushev, VA
    Rogers, CL
    Subject
    L-infinity algebras
    Simplicial sets
    Permanent link to this record
    http://hdl.handle.net/20.500.12613/5800
    
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    DOI
    10.1016/j.jalgebra.2015.01.032
    Abstract
    © 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.
    Citation to related work
    Elsevier BV
    Has part
    Journal of Algebra
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    ae974a485f413a2113503eed53cd6c53
    http://dx.doi.org/10.34944/dspace/5782
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