ar X iv : c m p - lg / 9 60 50 18 v 1 1 3 M ay 1 99 6 Efficient Tabular LR Parsing

ar X iv : a lg - g eo m / 9 50 20 26 v 2 9 M ay 1 99 5 ALGEBRAIC SURFACES AND SEIBERG - WITTEN INVARIANTS

ar X iv : q - a lg / 9 60 50 33 v 1 2 1 M ay 1 99 6 CRM - 2278 March 1995 q - Ultraspherical Polynomials for q a Root of Unity

Properties of the q-ultraspherical polynomials for q being a primitive root of unity are derived using a formalism of the soq(3) algebra. The orthogonality condition for these polynomials provides a new class of trigonometric identities representing discrete finite-dimensional analogs of q-beta integrals of Ramanujan. Mathematics Subject Classifications (1991). 17B37, 33D80

ar X iv : q - a lg / 9 70 50 12 v 1 1 6 M ay 1 99 7 Poisson structures on the center

It is shown that the elliptic algebra Aq,p(ŝl(2)c) has a non trivial center at the critical level c = −2, generalizing the result of Reshetikhin and Semenov-Tian-Shansky for trigonometric algebras. A family of Poisson structures indexed by a non-negative integer k is constructed on this center.

ar X iv : q - a lg / 9 60 50 08 v 1 5 M ay 1 99 6 QUANTUM PRINCIPAL BUNDLES & THEIR CHARACTERISTIC CLASSES

A general theory of characteristic classes of quantum principal bundles is sketched, incorporating basic ideas of classical Weil theory into the conceptual framework of non-commutative differential geometry. A purely cohomological interpretation of the Weil homomorphism is given, together with a geometrical interpretation via quantum invariant polynomials. A natural spectral sequence is describ...

ar X iv : q - a lg / 9 60 50 09 v 1 5 M ay 1 99 6 QUANTUM CLASSIFYING SPACES & UNIVERSAL QUANTUM CHARACTERISTIC CLASSES

A construction of the noncommutative-geometric counterparts of classical classifying spaces is presented, for general compact matrix quantum structure groups. A quantum analogue of the classical concept of the classifying map is introduced and analyzed. Interrelations with the abstract algebraic theory of quantum characteristic classes are discussed. Various non-equivalent approaches to definin...