Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Topology of crystalline insulators and superconductors   We complete a classification of topological phases and their topological
defects in crystalline insulators and superconductors. We consider topological
phases and defects described by non-interacting Bloch and Bogoliubov de Gennes
Hamiltonians that support additional order-two spatial symmetry, besides any of
ten classes of symmetries defined by time-reversal symmetry and particle-hole
symmetry. The additional order-two spatial symmetry we consider is general and
it includes $Z_2$ global symmetry, mirror reflection, two-fold rotation,
inversion, and their magnetic point group symmetries. We find that the
topological periodic table shows a novel periodicity in the number of flipped
coordinates under the order-two spatial symmetry, in addition to the
Bott-periodicity in the space dimensions. Various symmetry protected
topological phases and gapless modes will be identified and discussed in a
unified framework. We also present topological classification of symmetry
protected Fermi points. The bulk classification and the surface Fermi point
classification provide a novel realization of the bulk-boundary correspondence
in terms of the K-theory.

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The categories of this paper are: hep-ph
37
The categories of this paper are: supr-con
24
The categories of this paper are: dg-ga
14
The categories of this paper are: math-ph
5
The categories of this paper are: gr-qc
22
The categories of this paper are: chao-dyn
21
The categories of this paper are: adap-org
18
The categories of this paper are: econ
8
The categories of this paper are: hep-ex
28
The categories of this paper are: alg-geom
17
The categories of this paper are: q-fin
33
The categories of this paper are: plasm-ph
30
The categories of this paper are: q-alg
12
The categories of this paper are: nucl-th
25
The categories of this paper are: patt-sol
27
The categories of this paper are: comp-gas