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math.DG2016★ 25 cited
Ricci flow, Courant algebroids, and renormalization of Poisson--Lie T-duality
Pavol Ševera, Fridrich Valach
We use a generalized Ricci tensor, defined for generalized metrics in Courant algebroids, to show that Poisson-Lie T-duality is compatible with the 1-loop renormalization group.
math.SG2016
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…