Categorification of quasi-split iquantum groups

Abstract

We introduce a new family of graded 2-categories generalizing the 2-quantum groups introduced by Khovanov, Lauda and Rouquier. We use them to categorify quasi-split iquantum groups in all symmetric types.

93 pages. Version 2 has some minor changes to formatting (more calculations have been moved to appendices) and some other minor corrections have been made, including a confusing typo in formula (3.24). We have also changed a convention about the normalization of the bubble generating functions