Release Time:2019-03-13  Hits:

Indexed by: Journal Article

Date of Publication: 2019-01-01

Journal: NEW YORK JOURNAL OF MATHEMATICS

Included Journals: SCIE

Volume: 25

Page Number: 45-70

ISSN: 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.