ar X iv : m at h / 02 08 18 5 v 2 [ m at h . G T ] 2 5 Fe b 20 03 Stratified fibre bundles

ar X iv : m at h / 99 07 08 5 v 3 [ m at h . G R ] 2 5 Fe b 20 00 LOOPS AND SEMIDIRECT PRODUCTS

ar X iv : m at h / 05 03 00 6 v 1 [ m at h . D G ] 1 M ar 2 00 5 Transports along Paths in Fibre Bundles

The L A T E X 2ε source file of this paper was produced by converting a ChiWriter 3.16 source file into ChiWriter 4.0 file and then converting the latter file into a L A T E X 2.09 source file, which was manually edited for correcting numerous errors and for improving the appearance of the text. As a result of this procedure, some errors in the text may exist. Abstract A review of the parallel ...

ar X iv : m at h / 03 02 15 0 v 1 [ m at h . SG ] 1 2 Fe b 20 03 MELROSE – UHLMANN PROJECTORS , THE METAPLECTIC REPRESENTATION AND SYMPLECTIC CUTS

By applying the symplectic cutting operation to cotangent bundles, one can construct a large number of interesting symplectic cones. In this paper we show how to attach algebras of pseudodifferential operators to such cones and describe the symbolic properties of the algebras.

ar X iv : h ep - p h / 03 02 18 5 v 1 2 0 Fe b 20 03 Nonlinear corrections to the DGLAP equations ; looking for the saturation limits ∗

The effects of the first nonlinear corrections to the DGLAP equations are studied in light of the HERA data. Saturation limits are determined in the DGLAP+GLRMQ approach for the free proton and for the Pb nucleus.

ar X iv : h ep - t h / 03 02 18 5 v 1 2 4 Fe b 20 03 Thermodynamic Bethe Ansatz for the Spin - 1 / 2 Staggered XXZ - Model

We develop the technique of Thermodynamic Bethe Ansatz to investigate the ground state and the spectrum in the thermodynamic limit of the staggered XXZ models proposed recently as an example of integrable ladder model. This model appeared due to staggered inhomogeneity of the anisotropy parameter ∆ and the staggered shift of the spectral parameter. We give the structure of ground states and low...