The computational complexity of knot genus in a fixed 3-manifold
We show that the problem of deciding whether a knot in a fixed closed orientable 3-dimensional manifold bounds a surface of genus at most <i>g</i> is in co-NP. This answers a question of Agol, Hass and Thurston in 2002. Previously, this was known for rational homology 3-spheres, by the...
| Autores principales: | , |
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| Formato: | Journal article |
| Lenguaje: | English |
| Publicado: |
London Mathematical Society
2023
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| Sumario: | We show that the problem of deciding whether a knot in a fixed closed orientable 3-dimensional manifold bounds a surface of genus at most <i>g</i> is in co-NP. This answers a question of Agol, Hass and Thurston in 2002. Previously, this was known for rational homology 3-spheres, by the work of the first author. |
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