On the upsilon invariant of cable knots

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August undefined, 2024

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 … 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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WebChen_On the Upsilon invariant of cable knots_2024.pdf (Publisher version), 523KB Supplementary Material (public) There is no public supplementary material available. … Web8 de ago. de 2024 · In particular, we compute the alternation number, the dealternating number and the Turaev genus for all positive 3-braid knots. We also provide upper and … fishing yuma canals

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WebAdvancing research. Creating connections. 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) WebChen_On the Upsilon invariant of cable knots_2024.pdf (Publisher version), 523KB Supplementary Material (public) There is no public supplementary material available. … can chemo cause nose bleeds

Upsilon invariants of L-space cable knots Request PDF

WebWe 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 … Web1 de fev. de 2024 · We give a formula of the Upsilon invariant of any L-space cable knot K p, q using p, ϒ K and ϒ T p, q. The integral value of the Upsilon invariant gives a Q … fishing ypsilantiWebHom 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. fishing yoyo storage

"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 … " - On the upsilon invariant of cable knots

On the upsilon invariant of cable knots

Web26 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 …

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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 … 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.

Web26 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 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 …

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

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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 … can chemo cause numbness in feetWebAuthor: Chen, Wenzhao; Genre: Journal Article; Published in Print: 2024; Open Access; Keywords: Mathematics, Geometric Topology; Title: On the Upsilon invariant of ... fishing yucatan peninsulaWeb8 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 … can chemo cause lymphomaWeb13 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 … fishing yoyo academyWebChen_On the Upsilon invariant of cable knots_2024.pdf (Verlagsversion), 405KB Ergänzendes Material (frei zugänglich) Es sind keine frei zugänglichen Ergänzenden … can chemo cause neuropathy of the feetWeb26 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 … can chemo cause other cancersWeb16 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 … fishing yucatan