Counting SL2(Fq)-representations of torus knot groups

被引：1

作者：

Li, WP ^{[1
]}

Xu, L ^{[1
]}

机构：

[1] Oklahoma State Univ, Dept Math, Stillwater, OK 74078 USA

来源：

JOURNAL OF KNOT THEORY AND ITS RAMIFICATIONS | 2004年 / 13卷 / 03期

基金：

美国国家科学基金会;

关键词：

SL2(F-q)-representation; conjugacy class; (n; m)-Torus knot;

D O I：

10.1142/S0218216504003238

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we count the number of SL2 (F-q)-representations of torus knot group up to conjugacy. For the finite field F-q case, the counting methods are interested in its own right. Explicit formulae of the effective counting are given in this paper.

引用

页码：401 / 426

页数：26

共 13 条

[1] [Anonymous], MATH NOTES
[2] Fulton W., 1950, REPRESENTATION THEOR
[3] KOBLITZ N, 1997, P ADIC NUMBERS P ADI
[4] Casson-Lin's invariant and Floer homology
Li, WP
[J]. JOURNAL OF KNOT THEORY AND ITS RAMIFICATIONS, 1997, 6 (06) : 851 - 877
[5] Knot and link invariants and moduli space of parabolic bundles
Li, WP
[J]. COMMUNICATIONS IN CONTEMPORARY MATHEMATICS, 2001, 3 (04) : 501 - 531
[6] Li WP, 2003, ACTA MATH SIN, V19, P233, DOI 10.1007/s10114-003-0261-7
[7] LIN XS, 1992, J DIFFER GEOM, V35, P337
[8] HOMOMORPHISMS OF KNOT GROUPS ON FINITE GROUPS
RILEY, R
[J]. MATHEMATICS OF COMPUTATION, 1971, 25 (115) : 603 - &
[9] Rosen Kenneth H., 2000, ELEMENTARY NUMBER TH
[10] SINK JM, KNOTS HELLAS 98, P452

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