Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On Farber's invariants for simple $2q$-knots   Let $K$ be a simple $2q$-knot with exterior $X$. We show directly how the
Farber quintuple $(A,\Pi,\alpha,\ell,\psi)$ determines the homotopy type of $X$
if the torsion subgroup of $A=\pi_q(X)$ has odd order. We comment briefly on
the possible role of the EHP sequence in recovering the boundary inclusion from
the duality pairings $\ell $ and $\psi$. Finally we reformulate the Farber
quintuple as an hermitian self-duality of an object in an additive category
with involution.

11
The categories of this paper are: hep-lat
12
The categories of this paper are: nucl-th
6
The categories of this paper are: astro-ph
10
The categories of this paper are: q-bio
25
The categories of this paper are: patt-sol
36
The categories of this paper are: cmp-lg
0
The categories of this paper are: hep-ph
20
The categories of this paper are: acc-phys
5
The categories of this paper are: gr-qc
34
The categories of this paper are: chem-ph
35
The categories of this paper are: mtrl-th
16
The categories of this paper are: stat
17
The categories of this paper are: q-fin
27
The categories of this paper are: comp-gas
32
The categories of this paper are: atom-ph
31
The categories of this paper are: ao-sci