Graded Courant Algebroids

Jan Vysoky (CTU Prague)

Sep 15. 2021, 15:30 — 16:30

One can consider graded vector bundles over Z-graded manifolds equipped with a non-degenerate bilinear form of an arbitrary degree. By considering a graded version of the Dorfman bracket, we arrive to a suitable set of axioms for graded Courant algebroids. We discuss graded Dirac structures and generalized complex structures and show to use them to obtain a graded Poisson and symplectic manifolds.

Further Information
ESI Boltzmann Lecture Hall
Associated Event:
Geometry for Higher Spin Gravity: Conformal Structures, PDEs, and Q-manifolds (Thematic Programme)
Xavier Bekaert (U of Tours)
Andreas Cap (U of Vienna)
Stefan Fredenhagen (U of Vienna)
Maxim Grigoriev (U of Mons)
Alexei Kotov (U Hradec Králové)