ON THE COHOMOLOGY AND GEOMETRY OF PRINCIPAL SHEAVES

Efstathios Vassiliou
2003 Demonstratio Mathematica  
We study the cohomological classification of principal sheaves, the latter being defined in a slightly different way than in [6], a fact allowing to consider on them geometrical objects like connections. The classification of vector sheaves (studied in [10]) is now a corollary of the classification of their principal sheaves of frames. In particular, principal sheaves with an abelian structural sheaf, equipped (the former) with a connection, admit a hypercohomological classification
more » ... ication generalizing that of Maxwell fields given in [10].
doi:10.1515/dema-2003-0205 fatcat:av2i2bgqavbc7groceqemu5cva