The C-polynomial of a knot

Xingru Zhang

doi:10.1016/j.topol.2003.10.002

The C-polynomial of a knot

Xingru Zhang

Mathematics

University at Buffalo

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

3 Scopus citations

Abstract

We derive, from the A-polynomial of a knot, a single variable polynomial for the knot, called C-polynomial, and explore topological and geometrical information about the knot encoded in the C-polynomial.

Original language	English
Pages (from-to)	185-198
Number of pages	14
Journal	Topology and its Applications
Volume	139
Issue number	1-3
DOIs	https://doi.org/10.1016/j.topol.2003.10.002
State	Published - Apr 28 2004

Keywords

3-manifolds
A-polynomial
C-polynomial
Character variety
Dehn surgery
Knots

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10.1016/j.topol.2003.10.002

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title = "The C-polynomial of a knot",

abstract = "We derive, from the A-polynomial of a knot, a single variable polynomial for the knot, called C-polynomial, and explore topological and geometrical information about the knot encoded in the C-polynomial.",

keywords = "3-manifolds, A-polynomial, C-polynomial, Character variety, Dehn surgery, Knots",

author = "Xingru Zhang",

year = "2004",

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doi = "10.1016/j.topol.2003.10.002",

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AU - Zhang, Xingru

PY - 2004/4/28

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N2 - We derive, from the A-polynomial of a knot, a single variable polynomial for the knot, called C-polynomial, and explore topological and geometrical information about the knot encoded in the C-polynomial.

AB - We derive, from the A-polynomial of a knot, a single variable polynomial for the knot, called C-polynomial, and explore topological and geometrical information about the knot encoded in the C-polynomial.

KW - 3-manifolds

KW - A-polynomial

KW - C-polynomial

KW - Character variety

KW - Dehn surgery

KW - Knots

UR - https://www.scopus.com/pages/publications/1842502020

U2 - 10.1016/j.topol.2003.10.002

DO - 10.1016/j.topol.2003.10.002

M3 - Article

SN - 0166-8641

VL - 139

SP - 185

EP - 198

JO - Topology and its Applications

JF - Topology and its Applications

IS - 1-3

ER -

The C-polynomial of a knot

Abstract

Keywords

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