15 citations · 16 across the 6 of their papers we have counts for
6 papers
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…
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…
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…
Poly-symplectic Geometry and the AKSZ Formalism
Ivan Contreras, Nicolas Martinez Alba
We extend the AKSZ formulation of the Poisson sigma model to more general target spaces, and we develop the general theory of graded geometry for poly-symplectic and poly-Poisson s…
On higher Dirac structures
Henrique Bursztyn, Nicolas Martinez Alba, Roberto Rubio
We study higher-order analogues of Dirac structures, extending the multisymplectic structures that arise in field theory. We define higher Dirac structures as involutive subbundles…
Poly-symplectic groupoids and poly-Poisson structures
Nicolas Martinez Alba
We introduce poly-symplectic groupoids, which are natural extensions of symplectic groupoids to the context of poly-symplectic geometry, and define poly-Poisson structures as their…