On the topological 4-genus of torus knots
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BORIS DOI
Date of Publication
April 2018
Publication Type
Article
Division/Institute
Subject(s)
Series
Transactions of the American Mathematical Society
ISSN or ISBN (if monograph)
0002-9947
Publisher
American Mathematical Society
Language
English
Publisher DOI
Description
We prove that the topological locally flat slice genus of large torus knots takes up less than three quarters of the ordinary genus. As an application, we derive the best possible linear estimate of the topological slice genus for torus knots with non-maximal signature invariant.
File(s)
| File | File Type | Format | Size | License | Publisher/Copright statement | Content | |
|---|---|---|---|---|---|---|---|
| S0002-9947-2017-07051-3.pdf | text | Adobe PDF | 359.64 KB | publisher | published |