Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Distinguishing three-dimensional lens spaces L(7,1) and L(7,2) by means
  of classical pentagon equation   We construct new topological invariants of three-dimensional manifolds which
can, in particular, distinguish homotopy equivalent lens spaces L(7,1) and
L(7,2). The invariants are built on the base of a classical (not quantum)
solution of pentagon equation, i.e.algebraic relation corresponding to a ``2
tetrahedra to 3 tetrahedra'' local re-building of a manifold triangulation.
This solution, found earlier by one of the authors, is expressed in terms of
metric characteristics of Euclidean tetrahedra.

34
The categories of this paper are: chem-ph
27
The categories of this paper are: comp-gas
14
The categories of this paper are: math-ph
15
The categories of this paper are: nucl-ex
1
The categories of this paper are: cs
33
The categories of this paper are: plasm-ph
29
The categories of this paper are: funct-an
18
The categories of this paper are: econ
21
The categories of this paper are: adap-org
17
The categories of this paper are: q-fin
16
The categories of this paper are: stat
20
The categories of this paper are: acc-phys
4
The categories of this paper are: cond-mat
23
The categories of this paper are: solv-int
7
The categories of this paper are: hep-th
35
The categories of this paper are: mtrl-th