Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Non-commutative Multivariable Reidemeister Torsion and the Thurston Norm   In a previous paper, the second author defined integer-valued functions
delta_n on the first cohomology of a 3-manifold, generalizing McMullen's
Alexander norm. It was shown that these functions give lower bounds on the
Thurston norm. In this paper, we reformulate these invariants in terms of
Reidemeister torsion over a non-commutative multivariable Laurent polynomial
ring. This allows us to show that these functions are semi-norms.

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The categories of this paper are: hep-ph
33
The categories of this paper are: plasm-ph
35
The categories of this paper are: mtrl-th
30
The categories of this paper are: q-alg
18
The categories of this paper are: econ
11
The categories of this paper are: hep-lat
36
The categories of this paper are: cmp-lg
3
The categories of this paper are: physics
23
The categories of this paper are: solv-int
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The categories of this paper are: acc-phys
34
The categories of this paper are: chem-ph
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The categories of this paper are: nucl-ex
4
The categories of this paper are: cond-mat
27
The categories of this paper are: comp-gas
37
The categories of this paper are: supr-con
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The categories of this paper are: hep-th