ar X iv : m at h / 98 11 13 9 v 1 [ m at h . Q A ] 2 4 N ov 1 99 8 Higher - Dimensional Algebra IV : 2 - Tangles

ar X iv : m at h / 98 11 13 9 v 2 [ m at h . Q A ] 6 J ul 1 99 9 Higher - Dimensional Algebra IV : 2 - Tangles

Just as knots and links can be algebraically described as certain morphisms in the category of tangles in 3 dimensions, compact surfaces smoothly embedded in R4 can be described as certain 2-morphisms in the 2-category of ‘2-tangles in 4 dimensions’. Using the work of Carter, Rieger and Saito, we prove that this 2-category is the ‘free semistrict braided monoidal 2-category with duals on one un...

ar X iv : m at h / 99 11 07 4 v 1 [ m at h . Q A ] 1 1 N ov 1 99 9 CRYSTAL GRAPHS FOR BASIC REPRESENTATIONS OF THE QUANTUM AFFINE

We give a realization of crystal graphs for basic representations of the quantum affine algebra Uq(C (1) 2) in terms of new combinatorial objects called the Young walls.

ar X iv : h ep - t h / 94 10 11 8 v 2 2 2 N ov 1 99 4 WILSON LOOPS , qq̄ and 3 q POTENTIALS , BETHE – SALPETER EQUATION

ar X iv : h ep - p h / 98 11 43 9 v 1 2 3 N ov 1 99 8 Pomeron Flux Factor and Diffractive W and Jet Rates ∗

Experimental rates of W and dijets diffractively produced at the Tevatron Collider have recently become available. We use parametrizations of the pomeron structure function obtained from HERA data by two different schemes to compare theoretical expectations with the measured rates.

ar X iv : m at h / 99 11 14 3 v 1 [ m at h . D S ] 1 8 N ov 1 99 9 CANONICAL SYMBOLIC DYNAMICS FOR ONE - DIMENSIONAL GENERALIZED SOLENOIDS

We define canonical subshift of finite type cover for Williams' 1-dimensional generalized solenoids, and use resulting invariants to distinguish some closely related solenoids.