Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Homology of SL2 over function fields I: parabolic subcomplexes   The present paper studies the homology of the groups $SL_2(k[C])$ and
$GL_2(k[C])$ where $C=\overline{C}\setminus\{P_1,\dots,P_s\}$ is a smooth
affine curve over an algebraically closed field $k$. It is well-known that
these groups act on a product of trees and the quotients can be described in
terms of certain equivalence classes of vector bundles on the complete curve.
There is a natural subcomplex of cells with non-unipotent isotropy group. The
paper provides explicit formulas for the equivariant homology of this
"parabolic subcomplex". These formulas also describe the homology of
$SL_2(k[C])$ above degree s, with finite coefficients away from the
characteristic of $k$, generalizing a result of Suslin for the case s=1.

24
The categories of this paper are: dg-ga
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The categories of this paper are: eess
6
The categories of this paper are: astro-ph
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The categories of this paper are: bayes-an
33
The categories of this paper are: plasm-ph
7
The categories of this paper are: hep-th
3
The categories of this paper are: physics
22
The categories of this paper are: chao-dyn
18
The categories of this paper are: econ
5
The categories of this paper are: gr-qc
32
The categories of this paper are: atom-ph
1
The categories of this paper are: cs
8
The categories of this paper are: hep-ex
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The categories of this paper are: supr-con
35
The categories of this paper are: mtrl-th
12
The categories of this paper are: nucl-th