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Knot Floer homology
and the fundamental group of $(1,1)$ knots
Matthew Hedden, Jiajun Wang and Xiliu Yang |
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Vol. 333 (2024), No. 1, 81–113
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Abstract |
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We give an algorithm for computing the knot Floer homology of a knot from a particular presentation of its fundamental group. |
Keywords
$(1,1)$ knot, fundamental group, knot Floer homology
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Mathematical Subject Classification
Primary: 57K18, 57M05
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Milestones
Received: 30 June 2024
Revised: 11 October 2024
Accepted: 2 November 2024
Published: 19 December 2024
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Authors |
| Matthew Hedden | |
| Department of Mathematics Michigan State University East Lansing, MI United States |
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| Jiajun Wang | |
| School of Mathematical
Sciences Peking University Beijing China |
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| Xiliu Yang | |
| Beijing International Center for
Mathematical Research Peking University Beijing China |
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| © 2024 MSP (Mathematical Sciences Publishers). Distributed under the Creative Commons Attribution License 4.0 (CC BY). |
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