Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Consequences of the Marcus/Spielman/Stivastava solution to the
  Kadison-Singer Problem   It is known that the famous, intractible 1959 Kadison-Singer problem in
$C^{*}$-algebras is equivalent to fundamental unsolved problems in a dozen
areas of research in pure mathematics, applied mathematics and Engineering. The
recent surprising solution to this problem by Marcus, Spielman and Srivastava
was a significant achievement and a significant advance for all these areas of
research.
  We will look at many of the known equivalent forms of the Kadison-Singer
Problem and see what are the best new theorems available in each area of
research as a consequence of the work of Marcus, Spielman and Srivastave. In
the cases where {\it constants} are important for the theorem, we will give the
best constants available in terms of a {\it generic constant} taken from
\cite{MSS}. Thus, if better constants eventually become available, it will be
simple to adapt these new constants to the theorems.

27
The categories of this paper are: comp-gas
18
The categories of this paper are: econ
28
The categories of this paper are: alg-geom
3
The categories of this paper are: physics
13
The categories of this paper are: quant-ph
12
The categories of this paper are: nucl-th
36
The categories of this paper are: cmp-lg
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The categories of this paper are: funct-an
11
The categories of this paper are: hep-lat
21
The categories of this paper are: adap-org
1
The categories of this paper are: cs
24
The categories of this paper are: dg-ga
8
The categories of this paper are: hep-ex
34
The categories of this paper are: chem-ph
25
The categories of this paper are: patt-sol
9
The categories of this paper are: nlin