Every nontrivial knot in S 3 has nontrivial A-polynomial

Steven Boyer; Xingru Zhang

doi:10.1090/S0002-9939-05-07814-7

Every nontrivial knot in S ³ has nontrivial A-polynomial

Steven Boyer
, Xingru Zhang

Mathematics

Université du Québec à Montréal

Research output: Contribution to journal › Article › peer-review

16 Scopus citations

Abstract

We show that every nontrivial knot in the 3-sphere has a non-trivial A-polynomial.

Original language	English
Pages (from-to)	2813-2815
Number of pages	3
Journal	Proceedings of the American Mathematical Society
Volume	133
Issue number	9
DOIs	https://doi.org/10.1090/S0002-9939-05-07814-7
State	Published - Sep 2005

Keywords

Character variety
Knot
Polynomial

Access to Document

10.1090/S0002-9939-05-07814-7

Cite this

@article{28768136d2594b15af64d4a94d37ae54,

title = "Every nontrivial knot in S 3 has nontrivial A-polynomial",

abstract = "We show that every nontrivial knot in the 3-sphere has a non-trivial A-polynomial.",

keywords = "Character variety, Knot, Polynomial",

author = "Steven Boyer and Xingru Zhang",

year = "2005",

month = sep,

doi = "10.1090/S0002-9939-05-07814-7",

language = "English",

volume = "133",

pages = "2813--2815",

journal = "Proceedings of the American Mathematical Society",

issn = "0002-9939",

publisher = "American Mathematical Society",

number = "9",

}

TY - JOUR

T1 - Every nontrivial knot in S 3 has nontrivial A-polynomial

AU - Boyer, Steven

AU - Zhang, Xingru

PY - 2005/9

Y1 - 2005/9

N2 - We show that every nontrivial knot in the 3-sphere has a non-trivial A-polynomial.

AB - We show that every nontrivial knot in the 3-sphere has a non-trivial A-polynomial.

KW - Character variety

KW - Knot

KW - Polynomial

UR - https://www.scopus.com/pages/publications/24944486746

U2 - 10.1090/S0002-9939-05-07814-7

DO - 10.1090/S0002-9939-05-07814-7

M3 - Article

AN - SCOPUS:24944486746

SN - 0002-9939

VL - 133

SP - 2813

EP - 2815

JO - Proceedings of the American Mathematical Society

JF - Proceedings of the American Mathematical Society

IS - 9