Please use this identifier to cite or link to this item:
http://arks.princeton.edu/ark:/88435/dsp019880vt721| 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. |
| URI: | http://arks.princeton.edu/ark:/88435/dsp019880vt721 |
| Type of Material: | Princeton University Senior Theses |
| Language: | en |
| Appears in Collections: | Mathematics, 1934-2023 |
Files in This Item:
| File | Description | Size | Format | |
|---|---|---|---|---|
| XU-XIAOYU-THESIS.pdf | 2.71 MB | Adobe PDF | Request a copy |
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