Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Symplectic surfaces and bridge position   We give a new characterization of symplectic surfaces in CP^2 via bridge
trisections. Specifically, a minimal genus surface in CP^2 is smoothly isotopic
to a symplectic surface if and only if it is smoothly isotopic to a surface in
transverse bridge position. We discuss several potential applications,
including the classification of unit 2-knots, establishing the triviality of
Gluck twists, the symplectic isotopy problem, Auroux's proof that every
symplectic 4-manifold is a branched cover over CP^2, and the existence of
Weinstein trisections. The proof exploits a well-known connection between
symplectic surfaces and quasipositive factorizations of the full twist in the
braid group.

23
The categories of this paper are: solv-int
5
The categories of this paper are: gr-qc
19
The categories of this paper are: eess
13
The categories of this paper are: quant-ph
6
The categories of this paper are: astro-ph
8
The categories of this paper are: hep-ex
1
The categories of this paper are: cs
16
The categories of this paper are: stat
4
The categories of this paper are: cond-mat
3
The categories of this paper are: physics
29
The categories of this paper are: funct-an
15
The categories of this paper are: nucl-ex
25
The categories of this paper are: patt-sol
28
The categories of this paper are: alg-geom
18
The categories of this paper are: econ
0
The categories of this paper are: hep-ph