Elliptic surfaces without 1-handles

Details Elliptic surfaces without 1-handles Elliptic surfaces without 1-handles

2008-02-22

arxiv.org/abs/0802.3372v2

Mathematics

Geometric Topology

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

Scientific paper

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).

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