DELIGNE GROUPOID REVISITED

作者：Bressler Paul^*; Gorokhovsky Alexander; Nest Ryszard; Tsygan Boris

来源：Theory and Applications of Categories, 2015, 30: 1001-1016.

• groupoid
• L-infinity-algebra
• simplicial nerve

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].

• 出版日期2015
• 单位西北大学