Holomorphic forms in \(\Gamma-G/K\) and Chern classes

DOI10.1016/0040-9383(82)90003-9zbMath0484.57026OpenAlexW1986069466MaRDI QIDQ1163770

Rajagopalan Parthasarathy

Publication date: 1982

Published in: Topology (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0040-9383(82)90003-9

zbMATH Keywords

symmetric spacecocompact torsionless discrete subgroupcup product with the Chern classesdecomposition of the space of holomorphic formsMatsushima's formulaSO*(2n)Spn(R)U(m,n)

Mathematics Subject Classification ID

Differential geometry of homogeneous manifolds (53C30) Global differential geometry of Hermitian and Kählerian manifolds (53C55) Characteristic classes and numbers in differential topology (57R20) Differential forms in global analysis (58A10) Differential geometry of symmetric spaces (53C35) Homogeneous complex manifolds (32M10) Complex manifolds (32Q99) Holomorphic bundles and generalizations (32L05) Homology and cohomology of homogeneous spaces of Lie groups (57T15)

Related Items (5)

Projective integral models of Shimura varieties of Hodge type with compact factors ⋮ Restriction of the holomorphic cohomology of a Shimura variety to a smaller Shimura variety. ⋮ Algebraic cycles on Shimura varieties of orthogonal type ⋮ Products in the cohomology of Shimura varieties: some calculations. ⋮ Restriction of the cohomology of a Shimura variety to its subvarieties

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