117 citations · 1.6k across the 133 of their papers we have counts for
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Higher-twisted periodic smooth Deligne cohomology
Daniel Grady, Hisham Sati
Degree one twisting of Deligne cohomology, as a differential refinement of integral cohomology, was established in previous work. Here we consider higher degree twists. The Rham co…
Twisted differential generalized cohomology theories and their Atiyah-Hirzebruch spectral sequence
Daniel Grady, Hisham Sati
We construct the Atiyah-Hirzebruch spectral sequence (AHSS) for twisted differential generalized cohomology theories. This generalizes to the twisted setting the authors' correspon…
Twisted Morava K-theory and connective covers of Lie groups
Hisham Sati, Aliaksandra Yarosh
Twisted Morava K-theory, along with computational techniques, including a universal coefficient theorem and an Atiyah-Hirzebruch spectral sequence, was introduced by Craig Westerla…
Parametrized geometric cobordism and smooth Thom stacks
Daniel Grady, Hisham Sati
We develop a theory of parametrized geometric cobordism by introducing smooth Thom stacks. This requires identifying and constructing a smooth representative of the Thom functor ac…
Twisted smooth Deligne cohomology
Daniel Grady, Hisham Sati
Deligne cohomology can be viewed as a differential refinement of integral cohomology, hence captures both topological and geometric information. On the other hand, it can be viewed…