Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Quasipositive links and electromagnetism   For every link $L$ we construct a complex algebraic plane curve that
intersects $S^3$ transversally in a link $\tilde{L}$ that contains $L$ as a
sublink. This construction proves that every link $L$ is the sublink of a
quasipositive link that is a satellite of the Hopf link. The explicit
construction of the complex plane curve can be used to give upper bounds on its
degree and to create arbitrarily knotted null lines in electromagnetic fields,
sometimes referred to as vortex knots. Furthermore, these null lines are
topologically stable for all time. We also show that the time evolution of
electromagnetic fields as given by Bateman's construction and a choice of
time-dependent stereographic projection can be understood as a continuous
family of contactomorphisms with knotted field lines of the electric and
magnetic fields corresponding to Legendrian knots.

25
The categories of this paper are: patt-sol
35
The categories of this paper are: mtrl-th
33
The categories of this paper are: plasm-ph
26
The categories of this paper are: bayes-an
21
The categories of this paper are: adap-org
24
The categories of this paper are: dg-ga
1
The categories of this paper are: cs
16
The categories of this paper are: stat
3
The categories of this paper are: physics
15
The categories of this paper are: nucl-ex
5
The categories of this paper are: gr-qc
13
The categories of this paper are: quant-ph
31
The categories of this paper are: ao-sci
8
The categories of this paper are: hep-ex
36
The categories of this paper are: cmp-lg
28
The categories of this paper are: alg-geom