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...

সম্পূর্ণ বিবরণ

গ্রন্থ-পঞ্জীর বিবরন
প্রধান লেখক: Lackenby, M, Yazdi, M
বিন্যাস: Journal article
ভাষা:English
প্রকাশিত: London Mathematical Society 2023