title: Topology of surface diagrams of smooth 4-manifolds.
abstract: Surface diagrams are a new way to specify any smooth closed orientable 4-manifold by an orientable surface decorated with simple closed curves. These curves are cyclically indexed, and each curve has a unique transverse intersection with the next. The aim of this paper is to announce a uniqueness theorem for these objects (within a fixed homotopy class) that turns out to be similar to the Reidemeister-Singer theorem for Heegaard splittings of 3-manifolds.
authors.affiliation: Department of Mathematics, University of California, Berkeley, CA 94720-3840, USA. jdw@math.berkeley.edu
authors.forename: Jonathan D
authors.initials: JD
authors.lastname: Williams