ar X iv : 0 80 4 . 32 25 v 2 [ m at h . SG ] 3 J ul 2 00 9 STABILITY FUNCTIONS

ar X iv : 0 80 7 . 00 58 v 1 [ m at h . D G ] 1 J ul 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 : h ep - p h / 01 06 32 4 v 2 3 J ul 2 00 1 Anderson Theorem for Color Superconductor

Ginzburg-Landau functional is derived for a system possessing both chiral and diquark condensates. Anderson theorem for such a system is formulated and proved.

ar X iv : m at h / 06 07 13 0 v 1 [ m at h . A G ] 5 J ul 2 00 6 TWISTED LOOP GROUPS AND THEIR AFFINE FLAG VARIETIES

ar X iv : 0 90 7 . 07 87 v 1 [ m at h . G R ] 4 J ul 2 00 9 Submonoids and rational subsets of groups with infinitely many ends

In this paper we show that the membership problems for finitely generated submonoids and for rational subsets are recursively equivalent for groups with two or more ends.

ar X iv : 0 80 1 . 37 54 v 2 [ m at h . A G ] 9 J ul 2 00 8 Representation of nonnegative convex polyno - mials

We provide a specific representation of convex polynomials nonnegative on a convex (not necessarily compact) basic closed semi-algebraic set K ⊂ Rn. Namely, they belong to a specific subset of the quadratic module generated by the concave polynomials that define K. Mathematics Subject Classification (2000). Primary 14P10; Secondary 11E25 12D15 90C25.