An Infinite Suite of Links-Gould Invariants

Details An Infinite Suite of Links-Gould Invariants An Infinite Suite of Links-Gould Invariants

2000-04-27

arxiv.org/abs/math/0004170v3

Journal of Knot Theory and its Ramifications 10(1):(February 2001) 37-62

Mathematics

Geometric Topology

26 pages, 5 figures. This version adds background material on quantum superalgebras. David De Wit: <http://www.kurims.kyoto-u.

Scientific paper

This paper describes a method to obtain state model parameters for an infinite series of Links-Gould link invariants LG^{m,n}, based on quantum R matrices associated with the (\dot{0}_m | \dot{\alpha}_n) representations of the quantum superalgebras U_q[gl(m|n)]. Explicit details of the state models for the cases n=1 and m=1,2,3,4 are supplied. Some evaluations of the new link invariants are provided, as are some of their gross properties.

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