Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A geometric proof of the Milnor conjecture   A geometric argument is given to prove that the Seifert genus of a positive
knot equals its slice genus. A combinatorial invariant, giving a lower bound
for the slice genus, is formulated for arbitrary knots. Properties and
applications of this invariant are discussed.

20
The categories of this paper are: acc-phys
17
The categories of this paper are: q-fin
33
The categories of this paper are: plasm-ph
23
The categories of this paper are: solv-int
18
The categories of this paper are: econ
25
The categories of this paper are: patt-sol
24
The categories of this paper are: dg-ga
37
The categories of this paper are: supr-con
29
The categories of this paper are: funct-an
22
The categories of this paper are: chao-dyn
9
The categories of this paper are: nlin
26
The categories of this paper are: bayes-an
14
The categories of this paper are: math-ph
0
The categories of this paper are: hep-ph
35
The categories of this paper are: mtrl-th
1
The categories of this paper are: cs