17 citations · 45 across the 8 of their papers we have counts for
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math.SG2022
T-Duality and Lie bi-algebroid structures
Alexander Cardona, Juan José Villamarín
We show that the geometric notion of duality behind -duality, between two string theories on different manifolds in the sense of \cite{BHM1}\cite{BHM2}, is precisel…
math.SG2012
Extended Symmetries and Poisson Algebras Associated to Twisted Dirac Structures
Alexander Cardona
In this paper we study the relationship between the extended symmetries of exact Courant algebroids over a manifold , defined by Bursztyn, Cavalcanti and Gualtieri, and the Pois…
math.SG2012★ 1 cited
Poisson Algebras of Admissible Functions Associated to Twisted Dirac Structures
Alexander Cardona
We define algebras of admissible functions associated to twisted Dirac structures, and we show that they are Poisson algebras. We study the standard cases associated to Dirac struc…