Elliptic surfaces without 1-handles
Geometric Topology
2008-07-25 v2
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 and (p,q)=(2,3),(2,5),(3,4),(4,5).
Cite
@article{arxiv.0802.3372,
title = {Elliptic surfaces without 1-handles},
author = {Kouichi Yasui},
journal= {arXiv preprint arXiv:0802.3372},
year = {2008}
}
Comments
23 pages, 56 figures, slightly extended, accepted for publication in J. Topol