Cohomology of Courant algebroids with split base
نویسنده
چکیده
In this paper we study the cohomology H• st (E) of a Courant algebroid E. We prove that if E is transitive, H• st (E) coincides with the naive cohomology H• naive (E) of E as conjectured by Stiénon and Xu [SX08]. For general Courant algebroids E we define a spectral sequence converging to H• st (E). If E is with split base, we prove that there exists a natural transgression homomorphism T3 (with image in H naive (E)) which, together with H• naive (E), gives all H• st (E). For generalized exact Courant algebroids, we give an explicit formula for T3 depending only on the Ševera characteristic clas of E.
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On Regular Courant Algebroids
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