Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Gluing theories of contact instantons and of pseudoholomoprhic curves in
  SFT   We develop the gluing theory of contact instantons in the context of open
strings and in the context of closed strings \emph{with vanishing charge}, for
example in the symplectization context. This is one of the key ingredients for
the study of (virtually) smooth moduli space of (bordered) contact instantons
needed for the construction of contact instanton Floer cohomology and more
generally for the construction of Fukaya-type category of Legendrian
submanifolds in contact manifold $(M,\xi)$. As an application, we apply the
gluing theorem to give the construction of (cylindrical) Legendrian contact
instanton homology that enters in our solution to Sandon's question for the
nondegenerate case. We also apply this gluing theory to that of moduli spaces
of holomorphic buildings arising in Symplectic Field Theory (SFT) by
canonically lifting the former to that of the latter.

17
The categories of this paper are: q-fin
26
The categories of this paper are: bayes-an
35
The categories of this paper are: mtrl-th
27
The categories of this paper are: comp-gas
8
The categories of this paper are: hep-ex
12
The categories of this paper are: nucl-th
16
The categories of this paper are: stat
32
The categories of this paper are: atom-ph
13
The categories of this paper are: quant-ph
6
The categories of this paper are: astro-ph
19
The categories of this paper are: eess
24
The categories of this paper are: dg-ga
21
The categories of this paper are: adap-org
25
The categories of this paper are: patt-sol
18
The categories of this paper are: econ
23
The categories of this paper are: solv-int