Small 3-manifolds of large genus
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ID: 282245
2002
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Abstract
We prove the existence of pure braids with arbitrarily many strands which are
small, i.e. they contain no closed incompressible surface in the complement
which is not boundary parallel. This implies the existence of irreducible
non-Haken 3-manifolds of arbitrarily high Heegaard genus.
| Reference Key |
agol2002small
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|---|---|
| Authors | Ian Agol |
| Journal | arXiv |
| Year | 2002 |
| DOI |
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