Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A new algorithm for 3-sphere recognition   We prove the existence of a new algorithm for 3-sphere recognition based on
Groebner basis methods applied to the variety of $\text{\em
SL}(2,\C)$-representation of the fundamental group. An essential input is a
recent result of the second author, stating that any integer homology 3-sphere
different from the 3-sphere admits an irreducible representation of its
fundamental group in $\text{\em SL}(2,\C)$. This result, and hence our
algorithm, build on the geometrisation theorem of 3-manifolds.

13
The categories of this paper are: quant-ph
34
The categories of this paper are: chem-ph
36
The categories of this paper are: cmp-lg
33
The categories of this paper are: plasm-ph
17
The categories of this paper are: q-fin
9
The categories of this paper are: nlin
28
The categories of this paper are: alg-geom
21
The categories of this paper are: adap-org
5
The categories of this paper are: gr-qc
16
The categories of this paper are: stat
8
The categories of this paper are: hep-ex
22
The categories of this paper are: chao-dyn
20
The categories of this paper are: acc-phys
29
The categories of this paper are: funct-an
26
The categories of this paper are: bayes-an
0
The categories of this paper are: hep-ph