WebAdvancing research. Creating connections. WebThis thesis studies the Ozsv ath-Stipsicz-Szab o -invariant and Rasmussen’s \local h-invariants" of satellite knots. The rst main result is an inequality relating the -invariant of …
On the Upsilon invariant of cable knots
WebAuthor: Chen, Wenzhao; Genre: Journal Article; Published in Print: 2024; Open Access; Keywords: Mathematics, Geometric Topology; Title: On the Upsilon invariant of ... Web13 de nov. de 2024 · On the Upsilon invariant of fibered knots and right-veering open books. Dongtai He, Diana Hubbard, Linh Truong. We give a sufficient condition using the … fish and chips tower of london
On the Upsilon invariant of cable knots - Project Euclid
WebThis thesis studies the Ozsv ath-Stipsicz-Szab o -invariant and Rasmussen’s \local h-invariants" of satellite knots. The rst main result is an inequality relating the -invariant of a knot and that of its cable knots. This result generalizes previous work on the Ozsv a-Szab o ˝-invariant of cable knots due to Hedden and Van Cott. WebIn this paper, we study the behavior of ΥK(t) under the cabling operation, where ΥK(t) is the knot concordance invariant defined by Ozsváth, Stipsicz, and Szabó, associated to a knot K⊂S3. The main result is an inequality relating ΥK(t) and ΥKp,q(t), which generalizes the inequalities of Hedden [6] and Van Cott [22] on the Ozsváth-Szabó τ-invariant. As … Web17 de out. de 2024 · For ease of reference, we summarize below some of the properties of the \Upsilon -invariant given in [ 25, 26 ]. Proposition 2.1 [ 25, 26] For any knot K, the Upsilon invariant, denoted \Upsilon _K, is a piecewise linear function \Upsilon _K: [0,2]\rightarrow {\mathbb {R}} with the following properties. (1) cam tully