117 citations · 1.8k across the 104 of their papers we have counts for
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A Global Model Structure for -Linear -Local Systems
Hisham Sati, Urs Schreiber
Parameterized stable homotopy theory organizes local systems of spectra over homotopy types, governed by a "yoga" of six functors. To provide semantics for the recently developed L…
Cyclification of Orbifolds
Hisham Sati, Urs Schreiber
Inertia orbifolds homotopy-quotiented by rotation of geometric loops play a fundamental role not only in ordinary cyclic cohomology, but more recently in constructions of equivaria…
Equivariant principal infinity-bundles
Hisham Sati, Urs Schreiber
In this book we prove unified classification results for equivariant principal bundles when the topological structure group is truncated. The conceptually transparent proof invokes…
Proper Orbifold Cohomology
Hisham Sati, Urs Schreiber
The concept of orbifolds should unify differential geometry with equivariant homotopy theory, so that orbifold cohomology should unify differential cohomology with proper equivaria…
The character map in (twisted differential) non-abelian cohomology
Domenico Fiorenza, Hisham Sati, Urs Schreiber
We extend the Chern character on K-theory, in its generalization to the Chern-Dold character on generalized cohomology theories, further to (twisted, differential) non-abelian coho…
Central extensions of mapping class groups from characteristic classes
Domenico Fiorenza, Urs Schreiber, Alessandro Valentino
We characterize, for every higher smooth stack equipped with "tangential structure", the induced higher group extension of the geometric realization of its higher automorphism stac…