SL_4 web bases from hourglass plabic graphsAlgebra & Discrete Mathematics
|Joshua Swanson, University of Southern California
|Mon, May 1 2023, 4:10PM
In 1995, Kuperberg introduced a remarkable collection of trivalent web bases which encode tensor invariants of SL_3. Extending these bases to general SL_r has been an open problem ever since. We present a solution to the r=4 case by introducing a new generalization of Postnikov's plabic graphs. Joint work with Christian Gaetz, Oliver Pechenik, Stephan Pfannerer, and Jessica Striker.