Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Infinite topology of curve complexes and non-Poincare duality of
  Teichmueller modular groups   In this note, we fill in a gap in the literature by proving that the
Teichmueller modular groups (mapping class groups) are not Poincare duality
groups and the complexes of curves of surfaces have infinite homotopy type
(i.e. are not homotopy equivalent to a finite CW-complex).

16
The categories of this paper are: stat
9
The categories of this paper are: nlin
30
The categories of this paper are: q-alg
28
The categories of this paper are: alg-geom
24
The categories of this paper are: dg-ga
15
The categories of this paper are: nucl-ex
1
The categories of this paper are: cs
23
The categories of this paper are: solv-int
8
The categories of this paper are: hep-ex
26
The categories of this paper are: bayes-an
12
The categories of this paper are: nucl-th
37
The categories of this paper are: supr-con
35
The categories of this paper are: mtrl-th
3
The categories of this paper are: physics
13
The categories of this paper are: quant-ph
7
The categories of this paper are: hep-th