M/F-theory as -theory
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 …
quantized in Cohomotopy theory, implies, on flat but possibly singular spacetimes, that M …
A heterotic Kodaira-Spencer theory at one-loop
A bstract We consider a heterotic version of six-dimensional Kodaira-Spencer gravity
derived from the heterotic superpotential. We compute the one-loop partition function and …
derived from the heterotic superpotential. We compute the one-loop partition function and …
Differential KO-theory: constructions, computations, and applications
We provide several constructions in differential KO-theory. First, we construct a differential
refinement of the A ˆ-genus and a pushforward leading to a Riemann-Roch theorem. We set …
refinement of the A ˆ-genus and a pushforward leading to a Riemann-Roch theorem. We set …
The classical topological invariants of homogeneous spaces
We study the homogeneous spaces of a simply connected, compact, simple Lie group $ G $
through the lens of K-theory. Our methods apply equally well to the case where $ G $ is in …
through the lens of K-theory. Our methods apply equally well to the case where $ G $ is in …
Motivic Hirzebruch class and related topics
S Yokura - Handbook of Geometry and Topology of Singularities …, 2023 - Springer
The motivic Hirzebruch class is a characteristic class “unifying” three distinguished
characteristic homology classes of singular varieties. In this survey we discuss characteristic …
characteristic homology classes of singular varieties. In this survey we discuss characteristic …