256 citations · 760 across the 26 of their papers we have counts for
27 papers
The Weyl map and bundle gerbes
Kimberly E. Becker, Michael K. Murray, Daniel Stevenson
We introduce the notion of a general cup product bundle gerbe and use it to define the Weyl bundle gerbe on T x SU(n)/T. The Weyl map from T x SU(n)/T to SU(n) is then used to show…
Notes on the Joyal model structure
Danny Stevenson
We give a new construction of the Joyal model structure on the category of simplicial sets, and we provide a simple characterization of the fibrations in it. We characterize the in…
Model Structures for Correspondences and Bifibrations
Danny Stevenson
We study the notion of a bifibration in simplicial sets which generalizes the classical notion of two-sided discrete fibration studied in category theory. If and are simpli…
Stability for inner fibrations revisited
Danny Stevenson
In this paper we prove a stability result for inner fibrations in terms of the wide, or fat join operation on simplicial sets. We also prove some additional results on inner anodyn…
Covariant Model Structures and Simplicial Localization
Danny Stevenson
In this paper we prove that for any simplicial set , there is a Quillen equivalence between the covariant model structure on and a certain localization of the pro…
Equivariant bundle gerbes
Michael K. Murray, David Michael Roberts, Danny Stevenson +1
We develop the theory of simplicial extensions for bundle gerbes and their characteristic classes with a view towards studying descent problems and equivariance for bundle gerbes.…