Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: An Interplay of Topology and Quantized Geometric Phase for two Different
  Symmetry-Class Hamiltonians   Study of symmetry, topology and geometric phase can reveal many new and
interesting results on the topological states of matter. Here we present a
completely new and interesting result of symmetry, topology and quantization of
geometric phase along with the physical explanation for two different symmetry
classes. We present a detailed study of the auxiliary space for two different
symmetry classes of Hamiltonians. We show explicitly that the origin of the
auxiliary space inside the curve is only a necessary condition but it is not a
sufficient condition for the topological state. One of the most interesting
results is that same symmetry-class Hamiltonians show different behaviour in
topology and quantized geometric phase.

15
The categories of this paper are: nucl-ex
33
The categories of this paper are: plasm-ph
1
The categories of this paper are: cs
19
The categories of this paper are: eess
36
The categories of this paper are: cmp-lg
16
The categories of this paper are: stat
11
The categories of this paper are: hep-lat
24
The categories of this paper are: dg-ga
12
The categories of this paper are: nucl-th
13
The categories of this paper are: quant-ph
2
The categories of this paper are: math
10
The categories of this paper are: q-bio
0
The categories of this paper are: hep-ph
34
The categories of this paper are: chem-ph
17
The categories of this paper are: q-fin
14
The categories of this paper are: math-ph