3 papers
math.AT2026
Higher categories of bordisms with geometric structures
Daniel Grady, Dmitri Pavlov
We introduce a system of axioms that uniquely defines an (infinity,d)-category of bordisms equipped with geometric data. The underlying manifolds of these bordisms may be smooth, c…
math.AT2025
Cohomotopy and flux quantization in -theory
Daniel Grady
We identify some of the -invariants for the Postnikov tower of the stable and unstable 4-sphere. Assuming the stable Hypothesis H of Fiorenza--Sati--Schreiber, we use the result…
math.AT2025
On the differential -theory of moduli stacks
Daniel Grady
We compute the connective differential -theory and the differential cohomology of the moduli stack of principal -bundles with connection. The results are formulated in terms…