46 citations · 429 across the 44 of their papers we have counts for
24 papers · 1 filter
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…
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…
Shifted symplectic higher Lie groupoids and classifying spaces
Miquel Cueca, Chenchang Zhu
We introduce the concept of -shifted symplectic Lie -groupoids and symplectic Morita equivalences between them. We then build various models for the 2-shifted symplectic stru…
String principal bundles and Courant algebroids
Yunhe Sheng, Xiaomeng Xu, Chenchang Zhu
Just like Atiyah Lie algebroids encode the infinitesimal symmetries of principal bundles, exact Courant algebroids are believed to encode the infinitesimal symmetries of -gerb…
Some remarks on representations up to homotopy
Giorgio Trentinaglia, Chenchang Zhu
Motivated by the study of the interrelation between functorial and algebraic quantum field theory, we point out that on any locally trivial bundle of compact groups, representation…
Principal actions of stacky Lie groupoids
Henrique Bursztyn, Francesco Noseda, Chenchang Zhu
Stacky Lie groupoids are generalizations of Lie groupoids in which the "space of arrows" of the groupoid is a differentiable stack. In this paper, we consider actions of stacky Lie…