ar X iv : 0 90 6 . 44 31 v 2 [ cs . C C ] 2 6 Ju n 20 09 The Complexity of Probabilistic Lobbying ∗

ar X iv : 0 90 6 . 44 31 v 1 [ cs . C C ] 2 4 Ju n 20 09 The Complexity of Probabilistic Lobbying ∗

We propose various models for lobbying in a probabilistic environment, in which an actor (called “The Lobby”) seeks to influence the voters’ preferences of voting for or against multiple issues when the voters’ preferences are represented in terms of probabilities. In particular, we provide two evaluation criteria and three bribery methods to formally describe these models, and we consider the ...

ar X iv : 0 90 6 . 48 35 v 1 [ m at h . O C ] 2 6 Ju n 20 09 The Complex Gradient Operator and the CR - Calculus

ar X iv : 0 90 6 . 48 64 v 1 [ m at h . G T ] 2 6 Ju n 20 09 ZZ 2 – Thurston Norm and Complexity of 3 – Manifolds

A new lower bound on the complexity of a 3–manifold is given using the ZZ2 –Thurston norm. This bound is shown to be sharp, and the minimal triangulations realising it are characterised using normal surfaces consisting entirely of quadrilateral discs. AMS Classification 57M25, 57N10

ar X iv : 0 90 1 . 44 03 v 3 [ m at h . C T ] 2 5 Ju n 20 09 A * - autonomous Category of Banach Spaces – Corrected

We describe a C-linear additive *-autonomous category of Banach spaces. Please note that a correction has been appended to the original version 1 which is maintained here for reference. Also, a proposed example of a *-autonomous category of topological C-linear spaces has been added to version 2.

ar X iv : 0 90 6 . 30 44 v 2 [ he p - th ] 2 4 Ju n 20 09 Charged black strings in 5 D Kaluza - Klein spacetime

We present a short review on the electric and magnetic black strings in 5D spacetime with one compact dimension. Linear static perturbations of these objects indicate presence of the threshold unstable mode. Analysis of the mode shows that the electric black string is less stable than a neutral one. The situation is opposite for the magnetic black string.