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...

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書目詳細資料
Main Authors: Lackenby, M, Yazdi, M
格式: Journal article
語言:English
出版: London Mathematical Society 2023