- journal article metadata
European Mathematical Society Publishing House
2016-09-19 17:05:39
Quantum Topology
Quantum Topol.
QT
1663-487X
1664-073X
General
10.4171/QT
http://www.ems-ph.org/doi/10.4171/QT
subscribers, moving wall 5 years
European Mathematical Society Publishing House
Zuerich, Switzerland
© European Mathematical Society
5
2014
1
A categorification of quantum $\mathfrak{sl}_3$ projectors and the $\mathfrak{sl}_3$ Reshetikhin–Turaev invariant of tangles
David
Rose
University of Southern California, LOS ANGEGLES, UNITED STATES
Categorification, Jones–Wenzl projectors, $\mathfrak{sl}_3$ spider, Khovanov homology, quantum groups
We construct a categorification of the quantum $\mathfrak{sl}_3$ projectors, the $\mathfrak{sl}_3$ analog of the Jones–Wenzl projectors, as the stable limit of the complexes assigned to $k$-twist torus braids (as $k \to \infty$) in a suitably shifted version of Morrison and Nieh’s geometric formulation of $\mathfrak{sl}_3$ link homology [14] We use these projectors to give a categorification of the $\mathfrak{sl}_3$ Reshetikhin–Turaev invariant of framed tangles.
Manifolds and cell complexes
Quantum theory
1
59
10.4171/QT/46
http://www.ems-ph.org/doi/10.4171/QT/46