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.SG2025
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…
math.DG2024
On warped product on information geometry: statistical manifolds and statistical models
Nicolás MartÃnez 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…