A version of the goldman-millson theorem for filtered L<inf>∞</inf>-algebras
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Journal ArticleDate
2015-05-05Author
Dolgushev, VARogers, CL
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http://hdl.handle.net/20.500.12613/5800
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10.1016/j.jalgebra.2015.01.032Abstract
© 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 BVHas part
Journal of AlgebraADA compliance
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http://dx.doi.org/10.34944/dspace/5782