SEMINARI DI GEOMETRIA
14:30-15:30, Sala Seminari (Dip. Matematica)
de Rham and Dolbeault cohomology of solvmanifolds
Hisashi Kasuya (Università di Tokyo)
Abstract:
Unlike nilmanifolds, de Rham and Dolbeault
cohomology of solvmanifolds are not determined by the Lie algebra. I
construct explicit finite dimensional cochain complexes which compute
the de Rham cohomology of general solvmanifolds and Dolbeault cohomology
of some classes of solvmanifolds.