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The Quantum sl2-Invariant of a Family of Knots

Authors :
Malka Shah Bano
Abdul Rauf Nizami
Mobeen Munir
Source :
Applied Mathematics. :70-78
Publication Year :
2014
Publisher :
Scientific Research Publishing, Inc., 2014.

Abstract

We give a general formula of the quantum sl2-invariant of a family of braid knots. To compute the quantum invariant of the links we use the Lie algebra g=sl2 in its standard two-dimensional representation. We also recover the Jones polynomial of these knots as a special case of this quantum invariant.

Subjects

Subjects :
HOMFLY polynomial
Pure mathematics
Invariant polynomial
Quantum invariant
Mathematics::Rings and Algebras
Bracket polynomial
General Medicine
Mathematics::Geometric Topology
Knot theory
Finite type invariant
Algebra
Quantum algorithm
Invariant (mathematics)
Mathematics::Representation Theory
Mathematics

Details

ISSN :
21527393 and 21527385
Database :
OpenAIRE
Journal :
Applied Mathematics
Accession number :
edsair.doi...........b4b9d2455dba4ba2323e355efc28bb12

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