Author:
Dinh Van Hoang,Hermans Lander,Lowen Wendy
Abstract
AbstractWe introduce an operad $${{\,\mathrm{Patch}\,}}$$
Patch
which acts on the Gerstenhaber–Schack complex of a prestack as defined by Dinh Van and Lowen, and which in particular allows us to endow this complex with an underlying $$L_{\infty }$$
L
∞
-structure. We make use of the operad $${{\,\mathrm{Quilt}\,}}$$
Quilt
which was used by Hawkins in order to solve the presheaf case. Due to the additional difficulty posed by the presence of twists, we have to use $${{\,\mathrm{Quilt}\,}}$$
Quilt
in a fundamentally different way (even for presheaves) in order to allow for an extension to prestacks.
Publisher
Springer Science and Business Media LLC
Subject
General Physics and Astronomy,General Mathematics
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