HOMFLY-PT and Alexander polynomials from a doubled Schur algebra

被引：2

作者：

Queffelec, Hoel ^{[1
]}

Sartori, Antonio ^{[2
]}

机构：

[1] Univ Montpellier, CNRS, IMAG, Montpellier, France

[2] Albert Ludwigs Univ Freiburg, Math Inst, Eckerstr 1, D-79104 Freiburg, Germany

来源：

QUANTUM TOPOLOGY | 2018年 / 9卷 / 02期

关键词：

Schur algebras; knot invariants; Alexander polynomial; HOMFLY-PT polynomial; Reshetikhin-Turaev invariants;

D O I：

10.4171/QT/109

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We define a generalization of the Schur algebra which gives a unified setting for a quantum group presentation of the HOMFLY-PT polynomial, together with its specializations to the Alexander polynomial and to the sl(m) Reshetikhin-Turaev invariant.

引用

页码：323 / 347

页数：25

共 50 条

[21] HOMFLY-PT SKEIN MODULE OF SINGULAR LINKS IN THE THREE-SPHERE
Paris, Luis
Wagner, Emmanuel
JOURNAL OF KNOT THEORY AND ITS RAMIFICATIONS, 2013, 22 (02)
[22] HOMFLY-PT polynomial and normal rulings of Legendrian solid torus links
Rutherford, Dan
QUANTUM TOPOLOGY, 2011, 2 (02) : 183 - 215
[23] Harer-Zagier transform of the HOMFLY-PT polynomial for families of twisted hyperbolic knots
Petrou, Andreani
Hikami, Shinobu
JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL, 2024, 57 (20)
[24] ON THE S1 x S2 HOMFLY-PT INVARIANT AND LEGENDRIAN LINKS
Lavrov, Mikhail
Rutherford, Dan
JOURNAL OF KNOT THEORY AND ITS RAMIFICATIONS, 2013, 22 (08)
[25] Colored HOMFLY-PT for hybrid weaving knot W<mml:mo stretchy="true"></mml:mover>3(m<it>,</it> n)
Singh, Vivek Kumar
Mishra, Rama
Ramadevi, P.
JOURNAL OF HIGH ENERGY PHYSICS, 2021, (06):
[26] COLORED HOMFLY POLYNOMIALS FROM CHERN-SIMONS THEORY
Nawata, Satoshi
Ramadevi, P.
Zodinmawia
JOURNAL OF KNOT THEORY AND ITS RAMIFICATIONS, 2013, 22 (13)
[27] A Note on Colored HOMFLY Polynomials for Hyperbolic Knots from WZW Models
Gu, Jie
Jockers, Hans
COMMUNICATIONS IN MATHEMATICAL PHYSICS, 2015, 338 (01) : 393 - 456
[28] A Note on Colored HOMFLY Polynomials for Hyperbolic Knots from WZW Models
Jie Gu
Hans Jockers
Communications in Mathematical Physics, 2015, 338 : 393 - 456
[29] Lattice polytopes from Schur and symmetric Grothendieck polynomials
Bayer, Margaret
Goeckner, Bennet
Hong, Su Ji
McAllister, Tyrrell
Olsen, McCabe
Pinckney, Casey
Vega, Julianne
Yip, Martha
ELECTRONIC JOURNAL OF COMBINATORICS, 2021, 28 (02):
[30] Implications for colored HOMFLY polynomials from explicit formulas for group-theoretical structure
Lanina, E.
Sleptsov, A.
Tselousov, N.
NUCLEAR PHYSICS B, 2022, 974

← 1 2 3 4 5 →