3 papers
math.DS2025
New results on tilings via cup products and Chern characters on tiling spaces
Jianlong Liu, Jonathan Rosenberg, Rodrigo Treviño
We study the cohomology rings of tiling spaces given by cubical substitutions. While there have been many calculations before of cohomology groups of such tiling spaces, the i…
hep-th2025
Orientifolds for F-theory on K3 Surfaces
Charles Doran, Andreas Malmendier, Stefan Mendez-Diez +1
We study F-theory orientifolds, starting with products of two elliptic curves, but focusing mostly on a family of K3 surfaces, lattice polarized by the rank-17 lattice $\langle 8 \…
math.KT2025
Complex K-theory of 4-complexes
Jonathan Rosenberg
This short note summarizes a number of facts about the ring for a -dimensional CW-complex. Unusual features of this dimension are that every complex vector bundle i…