Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A calculus for branched spine of 3-manifolds   We establish a calculus for branched spines of 3-manifolds by means of
branched Matveev-Piergallini moves and branched bubble-moves. We briefly
indicate some of its possible applications in the study and definition of
State-Sum Quantum Invariants.

15
The categories of this paper are: nucl-ex
37
The categories of this paper are: supr-con
22
The categories of this paper are: chao-dyn
25
The categories of this paper are: patt-sol
21
The categories of this paper are: adap-org
18
The categories of this paper are: econ
6
The categories of this paper are: astro-ph
35
The categories of this paper are: mtrl-th
34
The categories of this paper are: chem-ph
7
The categories of this paper are: hep-th
13
The categories of this paper are: quant-ph
12
The categories of this paper are: nucl-th
28
The categories of this paper are: alg-geom
33
The categories of this paper are: plasm-ph
31
The categories of this paper are: ao-sci
27
The categories of this paper are: comp-gas