5 papers
G-algebroids: a unified framework for exceptional and generalised geometry, and Poisson-Lie duality
Mark Bugden, Ondrej Hulik, Fridrich Valach +1
We introduce the notion of G-algebroid, generalising both Lie and Courant algebroids, as well as the algebroids used in exceptional generalised geometr…
Ricci tensor in graded geometry
Fridrich Valach
We define the notion of the Ricci tensor for NQ symplectic manifolds of degree 2 and show that it corresponds to the standard generalized Ricci tensor on Courant algebroids. We use…
Schwarzian quantum mechanics as a Drinfeld-Sokolov reduction of theory
Fridrich Valach, Donald Ray Youmans
We give an interpretation of the holographic correspondence between two-dimensional theory on the punctured disk with gauge group and Schwarzian quant…
Courant algebroids, Poisson-Lie T-duality, and type II supergravities
Pavol Ševera, Fridrich Valach
We reexamine the notions of generalized Ricci tensor and scalar curvature on a general Courant algebroid, reformulate them using objects natural w.r.t. pull-backs and reductions, a…
Lie groups in quasi-Poisson geometry and braided Hopf algebras
Pavol Ševera, Fridrich Valach
We extend the notion of Poisson-Lie groups and Lie bialgebras from Poisson to g-quasi-Poisson geometry and provide a quantization to braided Hopf algebras in the corresponding Drin…