3 papers
math.AG2026
Hall Geometry and Auslander-Reiten Quiver
Aayush Verma
We show how the geometric information in the motivic Hall algebra and the correspondence of the moduli stack recovers the Auslander-Reiten sequences and the Auslander-Reiten quiver…
math-ph2024
Local aspects of topological quantization and the Wu-Yang Monopoles
Aayush Verma
In this paper, we review how local potentials arise in the Wu-Yang topological quantization. We also discuss the isomorphism between the de Rham cohomology classes and Cech cohomol…
hep-th2024
The Canvas of Holography in (A)dS/CFT
Vaibhav Kalvakota, Aayush Verma
The dynamic of holography between anti-de Sitter space holography and de Sitter holography is a very fascinating comparison, which provides many key insights into what we expect fr…