Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4584355 | Journal of Algebra | 2015 | 43 Pages |
Abstract
In this paper we consider L∞L∞-algebras equipped with complete descending filtrations. We prove that, under some mild conditions, an L∞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.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Vasily A. Dolgushev, Christopher L. Rogers,