Concordance invariants and Turaev genus
2021 04 28
Seungwon Kim (IBS, Korea)
Moscow-Beijing Topology Seminar
In this talk, we consider an infinite number of lower bounds of Turaev genus from differences between various concordance invariants of knots. Using the fact that our bounds are non-trivial for some quasi-alternating knots, we showed the additivity of Turaev genus for certain knots. This leads us to the first example of an infinite family of quasi-alternating knots with Turaev genus exactly g for any fixed positive integer g, solving a question of Champanerkar-Kofman. This is a joint work with Hongtaek Jung and Sunkyung Kang.
Meeting ID: 831 5020 0580