In the quest for mathematical foundations of M-theory, the Hypothesis H that fluxes are
quantized in Cohomotopy theory, implies, on flat but possibly singular spacetimes, that M …

We demonstrate that twisted equivariant differential K-theory of transverse complex curves
accommodates exotic charges of the form expected of codimension= 2 defect branes, such …

Over a decade before the modern formulation of AdS/CFT duality, Duff et al. had observed a
candidate microscopic explanation by identifying the CFT fields with fluctuations of probe p …

While fractional quantum Hall systems provide the best experimental evidence yet of
(abelian) anyons plausibly necessary for future fault-tolerant quantum computation, like all …

In this book we prove (Thm. 4. 3.24) unified classification results for stable equivariant Γ-
principal bundles when the underlying homotopy type SΓ of the topological structure group Γ …

There are fundamental open problems in the precise global nature of RR-field tadpole
cancellation conditions in string theory. Moreover, the non-perturbative lift as M5/MO5 …

We consider the hypothesis that the C-field 4-flux and 7-flux forms in M-theory are in the
image of the non-abelian Chern character map from the non-abelian generalized …

The concept of orbifolds should unify differential geometry with equivariant homotopy theory,
so that orbifold cohomology should unify differential cohomology with proper equivariant …

We introduce a differential refinement of Cohomotopy cohomology theory, defined on
Penrose diagram spacetimes, whose cocycle spaces are unordered configuration spaces of …

We review how core structures of string/M‐theory emerge as higher structures in super
homotopy theory; namely from systematic analysis of the brane bouquet of universal …