3 papers
math.DG2025
Explicit Families of Spinor Representations
Jesus Sanchez
We provide a recipe for building explicit representations of the real Clifford algebras once an explicit family is given in dimensions through . We further give an explicit…
math-ph2025
Hypoellipticity of the Asymptotic Bismut Superconnection on Contact Manifolds
Jesus Sanchez, Andres Franco Valiente
Given a contact sub-Riemannian manifold one obtains a non-integrable splitting of the tangent bundle into the directions along the contact distribution and the Reeb field. We gener…
math.DG2023
The Geometry of Mehlers Kernel
Jesus Sanchez
We study the relationship between the Getzler calculus of a spin Riemannian manifold and the Riemannian geometry of the corresponding principal spin bundle. We then use the calculu…