DISTINGUISHED LINE BUNDLES FOR COMPLEX SURFACE AUTOMORPHISMS

Commensurability of Surface Automorphisms and surface bundles over S

Obstructions of rational commensurability of reducible surface automorphisms are given. There are 3-manifolds admitting different surface bundles structures with monodromies not rational commensurable.

Line Bundles Associated with Normal Surface Singularities

In [15] L. Nicolaescu and the author formulated a conjecture which relates the geometric genus of a complex analytic normal surface singularity (X, 0) (whose link M is a rational homology sphere) with the Seiberg-Witten invariant of M associated with the “canonical” spin structure of M . (The interested reader is invited to see the articles [15, 16, 17, 13, 19, 20] for the verification of the c...

Automorphisms of cotangent bundles of Lie groups

Let G be a Lie group, G its Lie algebra, T G its cotangent bundle and D := tG the Lie algebra of T G. We investigate the group of automorphisms of D. More precisely, we fully characterize the space of all derivations of D. As a byproduct, we also characterize some spaces of operators on G amongst which the space J of bi-invariant tensors on G and prove that if G has a bi-invariant Riemannian or...

Complex Line Bundles over Simplicial Complexes and their Applications

Discrete vector bundles are important in Physics and recently found remarkable applications in Computer Graphics. This article approaches discrete bundles from the viewpoint of Discrete Differential Geometry, including a complete classification of discrete vector bundles over finite simplicial complexes. In particular, we obtain a discrete analogue of a theorem of André Weil on the classificati...

Groups of Complex Line Bundles Over Compact Kähler Varieties.