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Two variable link polynomials from quantum supergroups

✍ Scribed by J. R. Links; M. D. Gould

Publisher: Springer
Year: 1992
Tongue: English
Weight: 423 KB
Volume: 26
Category: Article
ISSN: 0377-9017
DOI: 10.1007/bf00420752

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✦ Synopsis

New two variable link polynomials are constructed corresponding to a one-parameter family of representations of the quantum supergroup Uq[gl(2l 1) ]. Their connection with the Kauffman polynomials is also investigated.

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Starting with the link invariant G"p\q\z#\ a skein relation is introduced which enables us to calculate the polynomial starting with G"p\q\z# 0\ for the unknot[ The relation between G"p\q\z# and the known 1!variable link invariant K"l\m# is shown[ Then the polynomial of some common knots is calculat