On the upsilon invariant of cable knots

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August undefined, 2024

WebON THE UPSILON INVARIANT OF CABLE KNOTS Wenzhao Chen Abstract In this paper, we study the behavior of K(t) under the cabling oper-ation, where K(t) is the knot … Web17 de out. de 2024 · We study the effect of satellite operations on the Upsilon invariant of Ozsváth–Stipsicz–Szabó. We obtain results concerning when a knot and its satellites are …

On the Upsilon invariant of cable knots :: MPG.PuRe

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. WebOn the Upsilon invariant of cable knots. Chen, Wenzhao. Abstract. In this paper, we study the behavior of $\Upsilon_K(t)$ under the cabling operation, where $\Upsilon_K(t)$ … dewalt adjustable torque impact wrench

On the Upsilon invariant of cable knots - NASA/ADS

WebSOME INEQUALITIES FOR HEEGAARD FLOER CONCORDANCE INVARIANTS OF SATELLITE KNOTS By Wenzhao Chen A DISSERTATION Submitted to Michigan State University in partial fulﬁllment of the requirements for the degree of Mathematics — Doctor of Philosophy 2024 SOME INEQUALITIES FOR HEEGAARD FLOER CONCORDANCE … WebChen_On the Upsilon invariant of cable knots_2024.pdf (Verlagsversion), 405KB Ergänzendes Material (frei zugänglich) Es sind keine frei zugänglichen Ergänzenden … 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) dewalt adjustable socket wrench

[1911.05776] On the Upsilon invariant of fibered knots and right ...

On the upsilon invariant of cable knots

On the Upsilon invariant and satellite knots SpringerLink

WebAutor: Chen, Wenzhao; Genre: Zeitschriftenartikel; Im Druck veröffentlicht: 2024; Open Access; Keywords: Mathematics, Geometric Topology; Titel: On the Upsilon ... 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 …

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Web16 de abr. de 2016 · On the Upsilon invariant of cable knots @article{Chen2016OnTU, title={On the Upsilon invariant of cable knots}, author={Wenzhao Chen} ... We study … Web8 de mar. de 2024 · We use Ozsváth, Stipsicz, and Szabó’s Upsilon-invariant to provide bounds on cobordisms between knots that ‘contain full-twists’. In particular, we recover …

Web16 de abr. de 2016 · There are many nonslice knots where their (p, 1)-cables have infinite order in C. For example, if K has nontrivial signature function [Tri69,Lev69], then a … 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 … WebHom gives an example of a knot with vanishing Upsilon invariant but nonzero epsilon invariant. We build more such knots that are linearly independent in the smooth concordance group. References. Samantha Allen, Using secondary Upsilon invariants to rule out stable equivalence of knot complexes, arXiv:1706.07108.

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 …

WebOn the Upsilon invariant of cable knots 1077 Note that by differentiating the above inequality at tD0, we recover Theorem 1.2. One also easily sees this inequality is sharp by … church lane bearstedWebWe 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 … church lane bedlingtonWeb26 de mar. de 2024 · The integral value of the Upsilon invariant gives a ${\mathbb Q}$-valued knot concordance invariant. We also compute the integral values of the Upsilon … church lane bathurstWeb26 de mar. de 2024 · Upsilon invariants of L-space cable knots. We give a formula of the Upsilon invariant of any L-space cable knot using and . The integral value of the … dewalt adjustable screw depth setterWebChen_On the Upsilon invariant of cable knots_2024.pdf (Publisher version), 523KB Supplementary Material (public) There is no public supplementary material available. … church lane baslow dewalt affiliateWeb26 de mar. de 2024 · Abstract: We give a formula of the Upsilon invariant of L-space cable knots $K_{p,q}$ in the case of $2gp dewalt adjustable wrenches