Repeated boundary slopes for 2-bridge knots-Reference-Cited by-同舟云学术

Repeated boundary slopes for 2-bridge knots

Published:2015-12 Issue:14 Volume:24 Page:1550068
ISSN:0218-2165
Container-title:Journal of Knot Theory and Its Ramifications
language:en
Short-container-title:J. Knot Theory Ramifications

Author:

Curtis Cynthia L.¹,Franczak William²,Leiser Randoplh J.³,Manheimer Ryan J.¹

Affiliation:

1. Department of Mathematics and Statistics, The College of New Jersey, Ewing, NJ 08628, USA

2. Department of Mathematics, Lehigh University, Bethlehem, PA18015, USA

3. Department of Mathematical Sciences, New Jersey Institute of Technology, Newark, NJ 07102, USA

Abstract

We investigate the question of when distinct branched surfaces in the complement of a 2-bridge knot support essential surfaces with identical boundary slopes. We determine all instances in which this occurs and identify an infinite family of knots for which no boundary slopes are repeated.

Publisher

World Scientific Pub Co Pte Lt

Subject

Algebra and Number Theory

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0218216515500686

Reference20 articles.

1. A classification of spanning surfaces for alternating links

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4. The SL(2,C) Casson invariant for Dehn surgeries on two-bridge knots

5. On Culler-Shalen Seminorms and Dehn Filling

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