We show that for a differential graded Lie algebra g whose components vanish in degrees below −1 the nerve of the Deligne 2-groupoid is homotopy equivalent to the simplicial set of g-valued differential forms introduced by V. Hinich [Hinich, 1997].
|Original language||English (US)|
|Number of pages||16|
|Journal||Theory and Applications of Categories|
|State||Published - Jul 7 2015|
- Simplicial nerve
ASJC Scopus subject areas
- Mathematics (miscellaneous)