Torus bundles over a torus

Torus Bundles over a Torus

1. If a compact Lie group P acts on a completely regular topological space E then E is said to be a principal P-bundle if whenever the relation px — x holds for pÇzP, x£E it follows that p = e, the identity of P. The orbit space X = E/P is called the base space and the map tt: E—>X carrying y into its orbit P-y is called the projection. Suppose now that G is a Lie group, 77i a closed subgroup o...

Twisted Torus Bundles over Arithmetic Varieties

A twisted torus is a nilmanifold which is the quotient of a real Heisenberg group by a cocompact discrete subgroup. We construct fiber bundles over arithmetic varieties whose fibers are isomorphic to a twisted torus, and express the complex cohomology of such bundles over certain Riemann surfaces in terms of automorphic forms.

Self-mapping degrees of torus bundles and torus semi-bundles

Each closed oriented 3-manifoldM is naturally associated with a set of integersD(M), the degrees of all self-maps on M . D(M) is determined for each torus bundle and torus semi-bundle M . The structure of torus semi-bundle is studied in detail. The paper is a part of a project to determine D(M) for all 3-manifolds in Thurston’s picture.

Neron-severi Group for Torus Quasi Bundles over Curves

Cohomology of Torus Bundles over Kuga Fiber Varieties

A Kuga fiber variety is a family of abelian varieties parametrized by a locally symmetric space and is constructed by using an equivariant holomorphic map of Hermitian symmetric domains. We construct a complex torus bundle T over a Kuga fiber variety Y parametrized by X and express its cohomology H∗(T ,C) in terms of the cohomology of Y as well as in terms of the cohomology of the locally symme...