15 citations · 16 across the 6 of their papers we have counts for
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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…
math.SG2016★ 15 cited
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…
math.SG2014
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…