26 citations · 87 across the 24 of their papers we have counts for
30 papers · 1 filter
B_n-generalized pseudo-Kahler structures
Vicente Cortés, Liana David
We define the notions of B_n-generalized pseudo-Hermitian and B_n-generalized pseudo-Kahler structures on an odd exact Courant algebroid E. When E is in the standard form (or of ty…
T-duality for transitive Courant algebroids
Vicente Cortés, Liana David
We develop a theory of T-duality for transitive Courant algebroids. We show that T-duality between transitive Courant algebroids E\rightarrow M and \tilde{E}\rightarrow \tilde{M} i…
(TE)-structures over the irreducible 2-dimensional globally nilpotent F-manifold germ
Liana David, Claus Hertling
We find formal and holomorphic normal forms for a class of meromorphic connections (the so-called -structures) over the irreducible -dimensional globally nilpotent -man…
Meromorphic connections over F-manifolds
Liana David, Claus Hertling
This paper review one construction of Frobenius manifolds (and slightly weaker structures). It splits it into several steps and discusses the freedom and the constraints in these s…
Generalized connections, spinors, and integrability of generalized structures on Courant algebroids
Vicente Cortés, Liana David
We present a characterization, in terms of torsion-free generalized connections, for the integrability of various generalized structures (generalized almost complex structures, gen…
(T)-structures over 2-dimensional F-manifolds: formal classification
Liana David, Claus Hertling
A -structure over a complex manifold is a meromorphic connection defined on a holomorphic vector bundle over , with poles of Poincaré rank on…