Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A Maslov Map for Coisotropic Submanifolds, Leaf-wise Fixed Points and
  Presymplectic Non-Embeddings   Let $(M,\omega)$ be a symplectic manifold, $N\subseteq M$ a coisotropic
submanifold, and $\Sigma$ a compact oriented (real) surface. I define a natural
Maslov index for each continuous map $u:\Sigma\to M$ that sends every connected
component of $\partial\Sigma$ to some isotropic leaf of $N$. This index is real
valued and generalizes the usual Lagrangian Maslov index. The idea is to use
the linear holonomy of the isotropic foliation of $N$ to compensate for the
loss of boundary data in the case codimension $N<\dim M/2$. The definition is
based on the Salamon-Zehnder (mean) Maslov index of a path of linear symplectic
automorphisms. I prove a lower bound on the number of leafwise fixed points of
a Hamiltonian diffeomorphism, if $(M,\omega)$ is geometrically bounded and $N$
is closed, regular (i.e. "fibering"), and monotone. As an application, we
obtain a presymplectic non-embedding result. I also prove a coisotropic version
of the Audin conjecture.

12
The categories of this paper are: nucl-th
31
The categories of this paper are: ao-sci
25
The categories of this paper are: patt-sol
19
The categories of this paper are: eess
33
The categories of this paper are: plasm-ph
26
The categories of this paper are: bayes-an
20
The categories of this paper are: acc-phys
22
The categories of this paper are: chao-dyn
29
The categories of this paper are: funct-an
13
The categories of this paper are: quant-ph
7
The categories of this paper are: hep-th
32
The categories of this paper are: atom-ph
35
The categories of this paper are: mtrl-th
34
The categories of this paper are: chem-ph
16
The categories of this paper are: stat
28
The categories of this paper are: alg-geom