3 papers
math-ph2025
Graded Contact Geometry and the AKSZ Formalism
Ivan Contreras, Nicolas Martinez-Alba, Rajan Amit Mehta
The AKSZ formalism is a construction of topological field theories where the target spaces are differential graded symplectic manifolds. In this paper, we describe an analogue of t…
math.DG2024
On warped product on information geometry: statistical manifolds and statistical models
Nicolás Martínez Alba, Olga Garatejo Escobar
We study a differential geometric construction, the warped product, on the background geometry for information theory. Divergences, dual structures and symmetric 3-tensor are studi…
math.SG2024
Reduction of Cosymplectic groupoids by cosymplectic moment maps
Daniel López Garcia, Nicolas Martinez Alba
The Marsden-Weinstein-Meyer symplectic reduction has an analogous version for cosymplectic manifolds. In this paper we extend this cosymplectic reduction to the context of groupoid…