ar X iv : m at h - ph / 9 90 30 19 v 1 9 M ar 1 99 9 Multidimensional Baker - Akhiezer Functions and Huygens ’ Principle

ar X iv : m at h - ph / 9 90 40 04 v 1 6 A pr 1 99 9 Heisenberg Groups in the Theory of the Lattice Peierls Electron : the Irrational Flux Case

ar X iv : m at h - ph / 9 91 00 13 v 1 8 O ct 1 99 9 q - deformed

ar X iv : m at h - ph / 9 90 90 25 v 1 2 1 Se p 19 99 The symmetries of the Manton superconductivity model

The symmetries and conserved quantities of Manton's modified superconductiv-ity model with non-relativistic Maxwell-Chern-Simons dynamics (also related to the Quan-tized Hall Effect) are obtained in the " Kaluza-Klein type " framework of Duval et al. 1. Introduction Recently [1], Manton proposed a modified version of the Landau-Ginzburg theory of superconductivity. His equations, defined on (2 ...

ar X iv : m at h - ph / 9 90 50 22 v 1 2 7 M ay 1 99 9

K-theory allows us to define an analytical condition for the existence of 'false' gauge field copies through the use of the Atiyah-Singer index theorem. After establishing that result we discuss a possible extension of the same result without the help of the index theorem and suggest possible related lines of work.

ar X iv : m at h - ph / 9 90 30 18 v 1 9 M ar 1 99 9 Gauge theory of disclinations on fluctuating elastic surfaces

A variant of a gauge theory is formulated to describe disclinations on Riemannian surfaces that may change both the Gaussian (intrinsic) and mean (extrinsic) curvatures, which implies that both internal strains and a location of the surface in R 3 may vary. Besides, originally distributed disclinations are taken into account. For the flat surface, an extended variant of the Edelen-Kadi´c gauge ...