Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Symplectic quasi-states on the quadric surface and Lagrangian
  submanifolds   The quantum homology of the monotone complex quadric surface splits into the
sum of two fields. We outline a proof of the following statement: The unities
of these fields give rise to distinct symplectic quasi-states defined by
asymptotic spectral invariants. In fact, these quasi-states turn out to be
"supported" on disjoint Lagrangian submanifolds. Our method involves a spectral
sequence which starts at homology of the loop space of the 2-sphere and whose
higher differentials are computed via symplectic field theory, in particular
with the help of the Bourgeois-Oancea exact sequence.

9
The categories of this paper are: nlin
0
The categories of this paper are: hep-ph
1
The categories of this paper are: cs
27
The categories of this paper are: comp-gas
30
The categories of this paper are: q-alg
24
The categories of this paper are: dg-ga
10
The categories of this paper are: q-bio
28
The categories of this paper are: alg-geom
7
The categories of this paper are: hep-th
33
The categories of this paper are: plasm-ph
8
The categories of this paper are: hep-ex
29
The categories of this paper are: funct-an
14
The categories of this paper are: math-ph
15
The categories of this paper are: nucl-ex
20
The categories of this paper are: acc-phys
16
The categories of this paper are: stat