A quadratic bound on the number of boundary slopes of essential surfaces with bounded genus

Details A quadratic bound on the number of boundary slopes of essential surfaces with bounded genus A quadratic bound on the number of boundary slopes of essential surfaces with bounded genus

2009-05-10

arxiv.org/abs/0905.1499v2

Mathematics

Geometric Topology

11 pages, 1 figure

Scientific paper

Let $M$ be an orientable 3-manifold with $\partial M$ a single torus. We show
that the number of boundary slopes of immersed essential surfaces with genus at
most $g$ is bounded by a quadratic function of $g$. In the hyperbolic case,
this was proved earlier by Hass, Rubinstein and Wang.

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