On the complement of a hypersurface with flat normal bundle which corresponds to a semipositive line bundle

Restriction of the Poincaré Bundle to a Calabi-yau Hypersurface

Let X be a compact connected Riemann surface of genus g, where g ≥ 3. Denote by Mξ := M(n, ξ) the moduli space of stable vector bundles over X of rank n and fixed determinant ξ. If the degree deg(ξ) and the rank n are coprime, then there is a universal family of vector bundles, U , over X parametrized by Mξ. This family is unique up to tensoring by a line bundle that comes from Mξ. We fix one u...

Line bundles for which a projectivized jet bundle is

We characterize the triples (X; L; H), consisting of line bundles L and H on a complex projective manifold X , such that for some positive integer k, the k-th holomorphic jet bundle

Choosing the Best Bundle of Projects: A DEA Approach

A Canonical Quadratic Form on the Determinant Line of a Flat Vector Bundle

Abstract. We introduce and study a canonical quadratic form, called the torsion quadratic form, of the determinant line of a flat vector bundle over a closed oriented odd-dimensional manifold. This quadratic form caries less information than the refined analytic torsion, introduced in our previous work, but is easier to construct and closer related to the combinatorial Farber-Turaev torsion. In...

The Lie Algebra of Smooth Sections of a T-bundle

In this article, we generalize the concept of the Lie algebra of vector fields to the set of smooth sections of a T-bundle which is by definition a canonical generalization of the concept of a tangent bundle. We define a Lie bracket multiplication on this set so that it becomes a Lie algebra. In the particular case of tangent bundles this Lie algebra coincides with the Lie algebra of vector fie...