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Indexed by:期刊论文

Date of Publication:2019-01-01

Journal:NEW YORK JOURNAL OF MATHEMATICS

Included Journals:SCIE

Volume:25

Page Number:45-70

ISSN No.:1076-9803

Key Words:slope conjecture; colored Jones polynomial; quadratic integer programming; boundary slope; incompressible surface

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.