Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Toroidal and Boundary-Reducing Dehn Fillings   Let M be a simple 3-manifold with a toral boundary component partial_0 M. If
Dehn filling M along partial_0 M one way produces a toroidal manifold and Dehn
filling M along partial_0 M another way produces a boundary-reducible manifold,
then we show that the absolute value of the intersection number on partial_0 M
of the two filling slopes is at most two. In the special case that the
boundary-reducing filling is actually a solid torus and the intersection number
between the filling slopes is two, more is said to describe the toroidal
filling.

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The categories of this paper are: hep-th
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The categories of this paper are: dg-ga
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The categories of this paper are: solv-int
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The categories of this paper are: adap-org
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The categories of this paper are: nlin
5
The categories of this paper are: gr-qc
37
The categories of this paper are: supr-con
12
The categories of this paper are: nucl-th
35
The categories of this paper are: mtrl-th
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The categories of this paper are: chao-dyn
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The categories of this paper are: funct-an
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The categories of this paper are: ao-sci
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The categories of this paper are: stat
36
The categories of this paper are: cmp-lg
1
The categories of this paper are: cs
0
The categories of this paper are: hep-ph