Skip navigation
Please use this identifier to cite or link to this item:
Title: On the Secondary Upsilon Invariant
Authors: Xu, Xiaoyu
Advisors: Szabo, Zoltan
Ozsvath, Peter
Department: Mathematics
Class Year: 2018
Abstract: In this paper we construct an infinite family of knots with vanishing Upsilon invariant $\Upsilon$, although their secondary Upsilon invariants $\Upsilon^2$ show that they are linearly independent in the smooth knot concordance group. We also prove a conjecture in a paper by Allen.
Type of Material: Princeton University Senior Theses
Language: en
Appears in Collections:Mathematics, 1934-2020

Files in This Item:
File Description SizeFormat 
XU-XIAOYU-THESIS.pdf2.71 MBAdobe PDF    Request a copy

Items in Dataspace are protected by copyright, with all rights reserved, unless otherwise indicated.