Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A field theory for symplectic fibrations over surfaces   We introduce in this paper a field theory on symplectic manifolds that are
fibered over a real surface with interior marked points and cylindrical ends.
We assign to each such object a morphism between certain tensor products of
quantum and Floer homologies that are canonically attached to the fibration. We
prove a composition theorem in the spirit of QFT, and show that this field
theory applies naturally to the problem of minimising geodesics in Hofer's
geometry. This work can be considered as a natural framework that incorporates
both the Piunikhin-Salamon-Schwarz morphisms and the Seidel isomorphism.

25
The categories of this paper are: patt-sol
35
The categories of this paper are: mtrl-th
14
The categories of this paper are: math-ph
22
The categories of this paper are: chao-dyn
36
The categories of this paper are: cmp-lg
32
The categories of this paper are: atom-ph
7
The categories of this paper are: hep-th
19
The categories of this paper are: eess
29
The categories of this paper are: funct-an
8
The categories of this paper are: hep-ex
9
The categories of this paper are: nlin
0
The categories of this paper are: hep-ph
30
The categories of this paper are: q-alg
24
The categories of this paper are: dg-ga
21
The categories of this paper are: adap-org
5
The categories of this paper are: gr-qc