8 citations · 9 across the 4 of their papers we have counts for
7 papers
Asymptotics of the quantum invariants for surgeries on the figure 8 knot
Jorgen Ellegaard Andersen, Soren Kold Hansen
We investigate the Reshetikhin--Turaev invariants associated to SU(2) for the 3-manifolds M obtained by doing any rational surgery along the figure 8 knot. In particular, we expres…
Topological Quantum Field Theory and the Nielsen-Thurston classification of M(0,4)
Jorgen Ellegaard Andersen, Gregor Masbaum, Kenji Ueno
We show that the Nielsen-Thurston classification of mapping classes of the sphere with four marked points is determined by the quantum SU(n)-representations, for any fixed integer…
Problems on invariants of knots and 3-manifolds
J. E. Andersen, N. Askitas, D. Bar-Natan +57
This is a list of open problems on invariants of knots and 3-manifolds with expositions of their history, background, significance, or importance. This list was made by editing ope…
Automorphism fixed points in the moduli space of semistable bundles
Jorgen Ellegaard Andersen, Jakob Grove
Given an automorphism of a smooth complex algebraic curve, there is an induced action on the moduli space of semi-stable rank 2 holomorphic bundles with fixed determinant. We give…
Asymptotic faithfulness of the quantum SU(n) representations of the mapping class groups
Jorgen Ellegaard Andersen
We prove that the sequence of projective representations of the mapping class group obtained from the projective flat connection in the SU(n)-Verlinde bundles over Teichmuller spac…
Higher Skein Modules
Jorgen Ellegaard Andersen, Vladimir Turaev
We introduce higher skein modules of links generalizing the Conway skein module. We show that these modules are closely connected to the HOMFLY polynomial.