Published by Duke University Press since its inception in 1935, the Duke Mathematical Journal is one of the world's leading mathematical journals. Without specializing in a small number of subject areas, it emphasizes the most active and influential areas of current mathematics.

### Volume 108, Number 1

#### Publication Date: 15 May 2001

The negative K-theory of normal surfaces

Charles Weibel; 1-35

Braid group actions on derived categories of coherent sheaves

Paul Seidel and Richard Thomas; 37-108

Finiteness theorems for nonnegatively curved vector bundles

Igor Belegradek and Vitali Kapovitch; 109-134

Dynamical quantum groups at roots of 1

Pavel Etingof and Dmitri Nikshych; 135-168

On the abc conjecture, II

C. L. Stewart and Kunrui Yu; 169-181

Realization of level one representations of $U\sb q(\hat{\mathfrak {g}})$ at a root of unity

Vyjayanthi Chari and Naihuan Jing; 183-197