Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Fibred knots and twisted Alexander invariants   We introduce a new algebraic topological technique to detect non-fibred knots
in the three sphere using the twisted Alexander invariants. As an application,
we show that for any Seifert matrix of a knot with a nontrivial Alexander
polynomial, there exist infinitely many non-fibered knots with the given
Seifert matrix. We illustrate examples of knots that have trivial Alexander
polynomials but do not have twisted Alexander invariants of fibred knots.

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The categories of this paper are: hep-ex
33
The categories of this paper are: plasm-ph
36
The categories of this paper are: cmp-lg
28
The categories of this paper are: alg-geom
34
The categories of this paper are: chem-ph
0
The categories of this paper are: hep-ph
3
The categories of this paper are: physics
20
The categories of this paper are: acc-phys
10
The categories of this paper are: q-bio
23
The categories of this paper are: solv-int
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The categories of this paper are: supr-con
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The categories of this paper are: quant-ph
4
The categories of this paper are: cond-mat
31
The categories of this paper are: ao-sci
24
The categories of this paper are: dg-ga
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The categories of this paper are: q-alg