Quantum link homology via trace functor I

Abstract

Motivated by topology, we develop a general theory of traces and shadows for an endobicategory, which is a pair: bicategory $C$ in new window and endobifunctor $\sum : C \rightarrow C$ . For a graded linear bicategory and a fixed invertible parameter $q$, we quantize this theory by using the endofunctor $\sum_q$ such that $\sum\nolimits_{q}a:= q−^{deg α} \sum α$ for any 2-morphism α and coincides with $\sum$ Show more