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...

詳細記述

書誌詳細
主要な著者: Lackenby, M, Yazdi, M
フォーマット: Journal article
言語:English
出版事項: London Mathematical Society 2023