8 citations · 19 across the 6 of their papers we have counts for
Showing math.GTShow all
3 papers · 1 filter
math.GT2013
A cellular basis for the generalized Temperly-Lieb Algebra and Mahler Measure
Xuanting Cai, Robert G. Todd
Just as the Temperley-Lieb algebra is a good place to compute the Jones polynomial, the Kauffman bracket skein algebra of a disk with colored points on the boundary, each with…
math.GT2012
On the Turaev-Viro endomorphism, and the colored Jones polynomial
Xuanting Cai, Patrick M. Gilmer
By applying a variant of the TQFT constructed by Blanchet, Habegger, Masbaum, and Vogel, and using a construction of Ohtsuki, we define a module endomorphism for each knot K by usi…
math.GT2010★ 8 cited
A Gram Determinant For Lickorish's Bilinear Form
Xuanting Cai
We use the Jones-Wenzl idempotents to construct a basis of Temperley-Lieb algebra TL_n. This allows a short calculation for a Gram determinant of Lickorish's bilinear form on the T…