Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On inaudible properties of broken drums - Isospectrality with mixed
  Dirichlet-Neumann boundary conditions   We study isospectrality for manifolds with mixed Dirichlet-Neumann boundary
conditions and express the well-known transplantation method in graph- and
representation-theoretic terms. This leads to a characterization of
transplantability in terms of monomial relations in finite groups and allows
for the generating of new transplantable pairs from given ones as well as a
computer-aided search for isospectral pairs. In particular, we show that the
Dirichlet spectrum of a manifold does not determine whether it is connected and
that an orbifold can be Dirichlet isospectral to a manifold.

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The categories of this paper are: comp-gas
4
The categories of this paper are: cond-mat
22
The categories of this paper are: chao-dyn
32
The categories of this paper are: atom-ph
26
The categories of this paper are: bayes-an
0
The categories of this paper are: hep-ph
16
The categories of this paper are: stat
20
The categories of this paper are: acc-phys
12
The categories of this paper are: nucl-th
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The categories of this paper are: funct-an
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The categories of this paper are: econ
5
The categories of this paper are: gr-qc
30
The categories of this paper are: q-alg
7
The categories of this paper are: hep-th
34
The categories of this paper are: chem-ph
37
The categories of this paper are: supr-con