On the upsilon invariant of cable knots
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 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 …
On the upsilon invariant of cable knots
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WebAuthor: Chen, Wenzhao; Genre: Journal Article; Published in Print: 2024; Open Access; Keywords: Mathematics, Geometric Topology; Title: On the Upsilon 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 …
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. WebOn the Upsilon invariant of cable knots - CORE Reader
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 $\Upsilon_K(t)$ …
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 …
WebChen_On the Upsilon invariant of cable knots_2024.pdf (Publisher version), 523KB Supplementary Material (public) There is no public supplementary material available. … ibrance and memory lossWebIn 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 … ibrance and low blood pressureWeb17 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) ibrance and vitaminsWebSOME 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 … ibrance by pfizerWebThis 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 … mondaufgang heute rostockWebAdvancing research. Creating connections. ibrance black box warningWeb26 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 … mondaufgang am meer interpretation