1 citations · 1 across the 2 of their papers we have counts for
4 papers · 1 filter
Differentiating groupoids
Du Li, Leonid Ryvkin, Arne Wessel +1
Differentiating an Lie -groupoid via the differential-geometric fat point a priori only yielads a presheaf of graded manifolds. In this article we prove that this presheaf is re…
Duals of Higher Vector Spaces
Stefano Ronchi, Chenchang Zhu
We introduce a notion of ``-dual'' to a simplicial vector space for . Coming with it, there is a canonical pairing, which we show to be non-degenerate up to homotopy for…
Integrating Lie algebroids via stacks and applications to Jacobi manifolds
Chenchang Zhu
Lie algebroids can not always be integrated into Lie groupoids. We introduce a new object--``Weinstein groupoid'', which is a differentiable stack with groupoid-like axioms. With i…
n-Groupoids and Stacky Groupoids
Chenchang Zhu
We discuss two generalizations of Lie groupoids. One consists of Lie -groupoids defined as simplicial manifolds with trivial . The other consists of stacky Lie g…