Elliptic surfaces without 1-handles
Abstract
Description
Harer-Kas-Kirby conjectured that every handle decomposition of the elliptic surface E(1)_{2,3} requires both 1- and 3-handles. We prove that the elliptic surface E(n)_{p,q} has a handle decomposition without 1-handles for $n\geq 1$ and (p,q)=(2,3),(2,5),(3,4),(4,5).
23 pages, 56 figures, slightly extended, accepted for publication in J. Topol
23 pages, 56 figures, slightly extended, accepted for publication in J. Topol