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The higher order terms in asymptotic expansion of color Jones polynomials
朱盛茂博士(浙江大学)
2018-01-01 12:13  华东师范大学

题目: The higher order terms in asymptotic expansion of color Jones polynomials

报告人: 朱盛茂 博士(浙江大学)

时间: 5月24日下午2:00-3:00

地点: 中山北路校区(中山北路3663号), 理科大楼A1414


Abstract:
Color Jones polynomial is one of the most important quantum
invariants in knot theory. Finding the geometric information from
the color Jones polynomial is an interesting topic. In this talk,
we will study the general expansion of color Jones polynomial.
Following the recent works on $SL(2,\mathbb{C})$ Chern-Simons
theory, we present an algorithm to calculate the higher order terms
in general asymptotic expansion of color Jones polynomial from the
view of A-polynomial and noncommutative A-polynomial. We also
give some examples to illustrate how to calculate the higher order terms
by this algorithm.