1 8 Ju l 2 00 8 Negro and Danube are mirror rivers

2 1 Ju l 2 00 8 THE REPRESENTATION OF BOL ALGEBRAS

We construct a representation of Bol algebras by using the notion of Bol modules.

ar X iv : m at h / 03 09 40 8 v 2 [ m at h . D G ] 1 2 Ju l 2 00 4 EINSTEIN METRICS ON SPHERES

ar X iv : h ep - t h / 04 03 02 1 v 2 2 8 Ju l 2 00 4 Particles and energy fluxes from a CFT perspective

We analyze the creation of particles in two dimensions under the action of conformal transformations. We focus our attention on Mobius transformations and compare the usual approach, based on the Bogolubov coefficients, with an alternative but equivalent viewpoint based on correlation functions. In the latter approach the absence of particle production under full Mobius transformations is manif...

ar X iv : 0 80 7 . 00 58 v 2 [ m at h . D G ] 1 6 Ju l 2 00 8 EQUIVARIANT DIFFERENTIAL CHARACTERS AND SYMPLECTIC REDUCTION

We describe equivariant differential characters (classifying equi-variant circle bundles with connections), their prequantization, and reduction.

ar X iv : 0 80 3 . 12 19 v 1 [ qu an t - ph ] 8 M ar 2 00 8 Optical squeezing of a mechanical oscillator by dispersive interaction

We consider a small partially reflecting vibrating mirror coupled dispersively to a single optical mode of a high finesse cavity. We show this arrangement can be used to implement quantum squeezing of the mechanically oscillating mirror.