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Xudong Leng,
Zhiqing Yang,
and Ximin Liu
The slope conjectures for 3-string Montesinos knots
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| Published: |
January 5, 2019. |
| Keywords: |
slope conjecture; colored Jones polynomial; quadratic integer programming; boundary slope; incompressible surface. |
| Subject: |
57N10, 57M25. |
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Abstract
The (strong) slope conjecture relates the degree of the colored Jones polynomial of a knot to certain essential surfaces in the knot complement. We verify the slope conjecture and the strong slope conjecture for 3-string Montesinos knots satisfying certain conditions. |
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| Acknowledgements
Yang is supported by the NFSC (No. 11271058). Liu is supported by the NFSC (No. 11431009)
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| Author information
Xudong Leng:
School of Mathematical Sciences
Dalian University of Technology
Dalian 116024, P. R. China
xudleng@163.com
Zhiqing Yang:
School of Mathematical Sciences
Dalian University of Technology
Dalian 116024, P. R. China
yangzhq@dlut.edu.cn
Ximin Liu:
School of Mathematical Sciences
Dalian University of Technology
Dalian 116024, P. R. China
ximinliu@dlut.edu.cn
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