Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Symplectic hats   We study relative symplectic cobordisms between contact submanifolds, and in
particular relative symplectic cobordisms to the empty set, that we call hats.
While we make some observations in higher dimensions, we focus on the case of
transverse knots in the standard 3-sphere, and hats in blow-ups of the
(punctured) complex projective planes. We apply the construction to give
constraints on the algebraic topology of fillings of double covers of the
3-sphere branched over certain transverse quasipositive knots.

22
The categories of this paper are: chao-dyn
17
The categories of this paper are: q-fin
34
The categories of this paper are: chem-ph
7
The categories of this paper are: hep-th
23
The categories of this paper are: solv-int
1
The categories of this paper are: cs
21
The categories of this paper are: adap-org
24
The categories of this paper are: dg-ga
18
The categories of this paper are: econ
26
The categories of this paper are: bayes-an
14
The categories of this paper are: math-ph
31
The categories of this paper are: ao-sci
8
The categories of this paper are: hep-ex
4
The categories of this paper are: cond-mat
27
The categories of this paper are: comp-gas
33
The categories of this paper are: plasm-ph