Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Traces in monoidal derivators, and homotopy colimits   A variant of the trace in a monoidal category is given in the setting of
closed monoidal derivators, which is applicable to endomorphisms of fiberwise
dualizable objects. Functoriality of this trace is established. As an
application, an explicit formula for the trace of the homotopy colimit of
endomorphisms over finite EI-categories is deduced. This result can be seen as
a generalization of the additivity of traces in monoidal categories with a
compatible triangulation.

16
The categories of this paper are: stat
33
The categories of this paper are: plasm-ph
35
The categories of this paper are: mtrl-th
25
The categories of this paper are: patt-sol
0
The categories of this paper are: hep-ph
10
The categories of this paper are: q-bio
15
The categories of this paper are: nucl-ex
11
The categories of this paper are: hep-lat
9
The categories of this paper are: nlin
32
The categories of this paper are: atom-ph
18
The categories of this paper are: econ
20
The categories of this paper are: acc-phys
14
The categories of this paper are: math-ph
26
The categories of this paper are: bayes-an
13
The categories of this paper are: quant-ph
7
The categories of this paper are: hep-th