Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Twisted Blanchfield pairings and twisted signatures II: Relation to
  Casson-Gordon invariants   This paper studies twisted signature invariants and twisted linking forms,
with a view towards obstructions to knot concordance. Given a knot $K$ and a
representation $\rho$ of the knot group, we define a twisted signature function
$\sigma_{K,\rho} \colon S^1 \to \mathbb{Z}$. This invariant satisfies many of
the same algebraic properties as the classical Levine-Tristram signature
$\sigma_K$. When the representation is abelian, $\sigma_{K,\rho}$ recovers
$\sigma_K$, while for appropriate metabelian representations, $\sigma_{K,\rho}$
is closely related to the Casson-Gordon invariants. Additionally, we prove
satellite formulas for $\sigma_{K,\rho}$ and for twisted Blanchfield forms.

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The categories of this paper are: q-fin
30
The categories of this paper are: q-alg
9
The categories of this paper are: nlin
12
The categories of this paper are: nucl-th
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The categories of this paper are: nucl-ex
3
The categories of this paper are: physics
6
The categories of this paper are: astro-ph
33
The categories of this paper are: plasm-ph
37
The categories of this paper are: supr-con
4
The categories of this paper are: cond-mat
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The categories of this paper are: funct-an
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The categories of this paper are: eess
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The categories of this paper are: dg-ga
34
The categories of this paper are: chem-ph
13
The categories of this paper are: quant-ph
7
The categories of this paper are: hep-th