We characterize the integral cohomology and the rational homotopy type of the maximal
Borel-equivariantization of the combined Hopf/twistor fibration, and find that subtle relations …

To set the scene, we begin here by reviewing basics of homotopy theory via model category
theory [Quillen (1967)](review in [Hovey (1999)][Hirschhorn (2003)][Lurie (2009a), A. 2]) and …

A bstract We give the first numerical calculation of the spectrum of the Laplacian acting on
bundle-valued forms on a Calabi-Yau three-fold. Specifically, we show how to compute the …

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 compute the F-and D-term potential energy for the dilaton, complex structure, and Kähler
moduli of realistic vacua of heterotic M-theory compactified on Calabi-Yau threefolds where …

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 …

A bstract The strongly coupled heterotic M-theory vacuum for both the observable and
hidden sectors of the B− L MSSM theory is reviewed, including a discussion of the “bundle” …

We recently described a protocol for computing the potential energy in heterotic M-theory for
the dilaton, complex structure and K\" ahler moduli. This included the leading order non …

We present a numerical algorithm for computing the spectrum of the Laplace-de Rham
operator on Calabi-Yau manifolds, extending previous work on the scalar Laplace operator …

We review recent results for heterotic moduli and the Hull--Strominger system. In particular,
we discuss mathematical properties of the recently derived deformation operator $\bar D …