Elliptic surfaces without 1-handles

Abstract

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 $n\ge 1$ and (p,q)=(2,3),(2,5),(3,4),(4,5).

23 pages, 56 figures, slightly extended, accepted for publication in J. Topol

References in corpus (1)

• The Dolgachev Surface

Cited by in corpus (3)

• Corks, Plugs and exotic structures
• The Dolgachev Surface
• Lantern relations and rational blowdowns