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http://arks.princeton.edu/ark:/88435/dsp01w6634681k| Title: | Rasmussen's s-invariant and the four-dimensional smooth Poincaré conjecture |
| Authors: | Nersisyan, Sergey |
| Advisors: | Ozsváth, Peter |
| Department: | Mathematics |
| Class Year: | 2022 |
| Abstract: | The goal of this paper is to present Manolescu and Piccirillo’s strategy for disproving the 4D smooth Poincaré conjecture (see [MP21]), as well as Nakamura’s obstruction to their method (see [Nak22]). We also review Khovanov homology, Rasmussen’s s-invariant, and the relationship between the smooth concordance of knots and their 0-surgeries and traces. |
| URI: | http://arks.princeton.edu/ark:/88435/dsp01w6634681k |
| Type of Material: | Princeton University Senior Theses |
| Language: | en |
| Appears in Collections: | Mathematics, 1934-2024 |
Files in This Item:
| File | Description | Size | Format | |
|---|---|---|---|---|
| NERSISYAN-SERGEY-THESIS.pdf | 683.97 kB | Adobe PDF | Request a copy |
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