title: Bernstein trace.
abstract: We introduce the notion of relative trace which is motivated by an observation about the category of vector spaces and linear transformations and builds upon the categorical trace of Joyal, Street, and Verity. Furthermore, we define a new categorical trace based on a trace formula first introduced by J. Bernstein.
authors.affiliation: School of Informatics and Computing, Indiana University Bloomington, 919 East 10th Street, Bloomington, IN 47408 USA.
authors.forename: Esfandiar
authors.initials: E
authors.lastname: Haghverdi
keywords: Categorical trace; Monoidal categories; Traced monoidal categories