Heegaard genus formula for Haken manifolds

Jennifer Schultens

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arXiv · math/0108028

Heegaard genus formula for Haken manifolds

Jennifer Schultens

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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.

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BibTeX RIS

Jennifer Schultens. 2006-05-31. Heegaard genus formula for Haken manifolds. https://arxiv.org/abs/math/0108028

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