ar X iv : c m p - lg / 9 60 40 21 v 1 2 9 A pr 1 99 6 Extended Dependency Structures and their Formal Interpretation ∗ Marc

ar X iv : c m p - lg / 9 60 40 12 v 1 2 4 A pr 1 99 6 S . EMH . E : A Generalised Two - Level System

This paper presents a generalised twolevel implementation which can handle linear and non-linear morphological operations. An algorithm for the interpretation of multi-tape two-level rules is described. In addition, a number of issues which arise when developing non-linear grammars are discussed with examples from Syriac.

ar X iv : a lg - g eo m / 9 60 40 19 v 1 2 8 A pr 1 99 6 RECURSIVE FORMULAS FOR THE CHARACTERISTIC NUMBERS OF RATIONAL PLANE CURVES

We derive recursive equations for the characteristic numbers of rational nodal plane curves with at most one cusp, subject to point conditions, tangent conditions and flag conditions, developing techniques akin to quantum cohomology on a moduli space of stable lifts.

ar X iv : a lg - g eo m / 9 60 80 25 v 1 2 2 A ug 1 99 6 COUNTING PLANE CURVES OF ANY GENUS

ar X iv : q - a lg / 9 60 70 28 v 1 2 7 Ju l 1 99 6 Examples of Categorification

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...