nLab Stavros Garoufalidis

• webpage

Selected writings

• Stavros Garoufalidis, Peter Scholze, Campbell Wheeler, Don Zagier, The Habiro ring of a number field (arXiv:2412.04241)

On the universal Vassiliev invariant of the unknot (Wheels theorem):

• Dror Bar-Natan, Stavros Garoufalidis, Lev Rozansky, Dylan Thurston, Wheels, wheeling, and the Kontsevich integral of the unknot (q-alg/9703025)

On analytically continued Chern-Simons theory:

• Stavros Garoufalidis, Chern-Simons theory, analytic continuation and arithmetic (arXiv:0711.1716)

On the colored Jones polynomial:

• Stavros Garoufalidis, Martin Loebl, A non-commutative formula for the colored Jones function (arXiv:math/0411505)

Relation of the colored Jones polynomial to Lie algebra weight systems on chord diagrams:

• Dror Bar-Natan, Stavros Garoufalidis, On the Melvin–Morton–Rozansky conjecture, Invent math (1996) 125: 103 (doi:10.1007/s002220050070, pdf)

On the complex volume of hyperbolic 3-manifolds and the volume conjecture:

• Stavros Garoufalidis, Dylan Thurston, Christian Zickert, The complex volume of $SL(n,\mathbb{C})$-representations of 3-manifolds (arXiv:1111.2828, Euclid)