Abstract
For any regular Courant algebroid, we construct a characteristic class à la Chern-Weil. This intrinsic invariant of the Courant algebroid is a degree-3 class in its naive cohomology. When the Courant algebroid is exact, it reduces to the Ševera class in H3DR(M). On the other hand, when the Courant algebroid is a quadratic Lie algebra g, it coincides with the class of the Cartan 3-form in H3(g). We also give a complete classification of regular Courant algebroids and discuss its relation to the characteristic class.
Original language | English (US) |
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Pages (from-to) | 1-24 |
Number of pages | 24 |
Journal | Journal of Symplectic Geometry |
Volume | 11 |
Issue number | 1 |
DOIs | |
State | Published - Mar 2013 |
All Science Journal Classification (ASJC) codes
- Geometry and Topology