Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On the toplogical computation of K4 of the Gaussian and Eisenstein
  integers   In this paper we use topological tools to investigate the structure of the
algebraic K-groups K_4 (Z[i]) and K_4 (Z[rho]), where i := sqrt{-1} and rho :=
(1+sqrt{-3})/2. We exploit the close connection between homology groups of
GL_n(R) for n <= 5 and those of related classifying spaces, then compute the
former using Voronoi's reduction theory of positive definite quadratic and
Hermitian forms to produce a very large finite cell complex on which GL_n(R)
acts. Our main result is that K_4 (Z[i]) and K_4 (Z[rho]) have no p-torsion for
p >= 5.

14
The categories of this paper are: math-ph
31
The categories of this paper are: ao-sci
16
The categories of this paper are: stat
20
The categories of this paper are: acc-phys
23
The categories of this paper are: solv-int
6
The categories of this paper are: astro-ph
28
The categories of this paper are: alg-geom
5
The categories of this paper are: gr-qc
11
The categories of this paper are: hep-lat
19
The categories of this paper are: eess
26
The categories of this paper are: bayes-an
24
The categories of this paper are: dg-ga
21
The categories of this paper are: adap-org
18
The categories of this paper are: econ
30
The categories of this paper are: q-alg
1
The categories of this paper are: cs