Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On localization sequences in the algebraic K-theory of ring spectra   We identify the $K$-theoretic fiber of a localization of ring spectra in
terms of the $K$-theory of the endomorphism algebra spectrum of a Koszul-type
complex. Using this identification, we provide a negative answer to a question
of Rognes for $n>1$ by comparing the traces of the fiber of the map
$K(BP(n))\rightarrow K(E(n))$ and of $K(BP(n-1))$ in rational topological
Hochschild homology.

13
The categories of this paper are: quant-ph
22
The categories of this paper are: chao-dyn
6
The categories of this paper are: astro-ph
32
The categories of this paper are: atom-ph
33
The categories of this paper are: plasm-ph
26
The categories of this paper are: bayes-an
28
The categories of this paper are: alg-geom
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The categories of this paper are: stat
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The categories of this paper are: econ
23
The categories of this paper are: solv-int
5
The categories of this paper are: gr-qc
29
The categories of this paper are: funct-an
3
The categories of this paper are: physics
37
The categories of this paper are: supr-con
25
The categories of this paper are: patt-sol
14
The categories of this paper are: math-ph