Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: An index inequality for embedded pseudoholomorphic curves in
  symplectizations   Let $\Sigma$ be a surface with a symplectic form, let $\phi$ be a
symplectomorphism of $\Sigma$, and let $Y$ be the mapping torus of $\phi$. We
show that the dimensions of moduli spaces of embedded pseudoholomorphic curves
in $\R\times Y$, with cylindrical ends asymptotic to periodic orbits of $\phi$
or multiple covers thereof, are bounded from above by an additive relative
index. We deduce some compactness results for these moduli spaces.
  This paper establishes some of the foundations for a program with Michael
Thaddeus, to understand the Seiberg-Witten Floer homology of $Y$ in terms of
such pseudoholomorphic curves. Analogues of our results should also hold in
three dimensional contact homology.

6
The categories of this paper are: astro-ph
37
The categories of this paper are: supr-con
36
The categories of this paper are: cmp-lg
4
The categories of this paper are: cond-mat
28
The categories of this paper are: alg-geom
15
The categories of this paper are: nucl-ex
22
The categories of this paper are: chao-dyn
18
The categories of this paper are: econ
26
The categories of this paper are: bayes-an
9
The categories of this paper are: nlin
33
The categories of this paper are: plasm-ph
31
The categories of this paper are: ao-sci
13
The categories of this paper are: quant-ph
27
The categories of this paper are: comp-gas
17
The categories of this paper are: q-fin
35
The categories of this paper are: mtrl-th