Heegaard genus formula for Haken manifolds
Geometric Topology
2007-05-23 v3
Abstract
Given a 3-manifold M containing an incompressible surface Q, we obtain an inequality relating the Heegaard genus of M and the Heegaard genera of the components of M - Q. Here the sum of the genera of the components of M - Q is bounded above by a linear expression in terms of the genus of M, the Euler characteristic of Q and the number of parallelism classes of essential annuli for which representatives can be simultaneously imbedded in the components of M - Q.
Keywords
Cite
@article{arxiv.math/0108028,
title = {Heegaard genus formula for Haken manifolds},
author = {Jennifer Schultens},
journal= {arXiv preprint arXiv:math/0108028},
year = {2007}
}
Comments
21 pages, 17 figures