论文标题
一致性不变和Turaev属
Concordance invariants and the Turaev genus
论文作者
论文摘要
我们表明，各种一致性的结之间的差异，包括拉斯穆森的$ s $ invariant及其概括$ s_n $ invariants，给了Turaev of turaev。利用我们的边界对于某些准偏斜的结是非凡的事实，我们显示了Turaev Genus在某种类别的结中的添加性。这使我们成为了一个无限的准倾向结家族的第一个例子，其中包括任何固定的正整数$ g $，恰好是$ g $，解决了Champanerkar-Kofman的问题。
We show that the differences between various concordance invariants of knots, including Rasmussen's $s$-invariant and its generalizations $s_n$-invariants, give lower bounds to the Turaev genus of knots. Using the fact that our bounds are nontrivial for some quasi-alternating knots, we show the additivity of Turaev genus for a certain class of 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.
