A double (Lie) groupoid is a groupoid in the category of (Lie) groupoids. A standard example is the
A double (Lie) groupoid is a groupoid in the category of (Lie) groupoids. A standard example is the fundamental double Lie groupoid of a Lie groupoid. I will describe a functor from the category of double Lie groupoids to the category of simplicial manifolds. In general, the simplicial manifolds that arise in this process are local Lie 2-groupoids. There is a process for turning a local Lie 2-groupoid into a groupoid, but smoothness is lost in general. However, in the above standard example, the resulting groupoid is smooth and agrees with a construction of Moerdijk and Mrcun.

Date and Venue

Start Date
Venue
0.07

Speaker

Rajan Mehta

Area

Geometry and Topology