Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The cyclotomic trace for symmetric ring spectra   The purpose of this paper is to present a simple and explicit construction of
the Bokstedt-Hsiang-Madsen cyclotomic trace relating algebraic K-theory and
topological cyclic homology. Our construction also incorporates Goodwillie's
idea of a global cyclotomic trace.

16
The categories of this paper are: stat
18
The categories of this paper are: econ
7
The categories of this paper are: hep-th
27
The categories of this paper are: comp-gas
17
The categories of this paper are: q-fin
14
The categories of this paper are: math-ph
28
The categories of this paper are: alg-geom
29
The categories of this paper are: funct-an
10
The categories of this paper are: q-bio
20
The categories of this paper are: acc-phys
15
The categories of this paper are: nucl-ex
25
The categories of this paper are: patt-sol
34
The categories of this paper are: chem-ph
13
The categories of this paper are: quant-ph
26
The categories of this paper are: bayes-an
30
The categories of this paper are: q-alg