80 citations · 397 across the 30 of their papers we have counts for
4 papers · 1 filter
Differential cohomology theories as sheaves of spectra
Ulrich Bunke, Thomas Nikolaus, Michael Völkl
We show that every sheaf on the site of smooth manifolds with values in a stable (infinity,1)-category (like spectra or chain complexes) gives rise to a differential cohomology dia…
Universality of multiplicative infinite loop space machines
David Gepner, Moritz Groth, Thomas Nikolaus
We establish a canonical and unique tensor product for commutative monoids and groups in an infinity-category C which generalizes the ordinary tensor product of abelian groups. Usi…
T-Duality via Gerby Geometry and Reductions
Ulrich Bunke, Thomas Nikolaus
We consider topological T-duality of torus bundles equipped with S^{1}-gerbes. We show how a geometry on the gerbe determines a reduction of its band to the subsheaf of S^{1}-value…
Algebraic K-Theory of infinity-Operads
Thomas Nikolaus
The theory of dendroidal sets has been developed to serve as a combinatorial model for homotopy coherent operads by Moerdijk and Weiss. An infinity-operad is a dendroidal set D sat…