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arXiv · 1407.6735

A Version of the Goldman-Millson Theorem for Filtered L-infinity Algebras

Vasily A. Dolgushev·Christopher L. Rogers
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Abstract

In this paper we consider $L_{\infty}$-algebras equipped with complete descending filtrations. We prove that, under some mild conditions, an $L_{\infty}$ quasi-isomorphism $U: L \to \tilde{L}$ induces a weak equivalence between the Deligne-Getzler-Hinich (DGH) $\infty$-groupoids corresponding to $L$ and $\tilde{L}$, respectively. This paper may be considered as a modest addition to foundational paper arXiv:math/0404003 by Ezra Getzler.

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BibTeXRIS

Vasily A. Dolgushev, Christopher L. Rogers. 2015-03-06. A Version of the Goldman-Millson Theorem for Filtered L-infinity Algebras. https://arxiv.org/abs/1407.6735

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