A basis theorem for the affine Kauffman category and its cyclotomic quotients.

The affine Kauffman category is a strict monoidal category and can be considered as a q -analogue of the affine Brauer category in Rui and Song (2019) [33]. In this paper, we prove a basis theorem for the morphism spaces in the affine Kauffman category as well as for all of its cyclotomic quotients under certain assumptions. [ABSTRACT FROM AUTHOR]