Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: An open string analogue of Viterbo functoriality   Liouville domains are a special type of symplectic manifolds with boundary
(they have an everywhere defined Liouville flow, pointing outwards along the
boundary). Symplectic cohomology for Liouville domains was introduced by
Cieliebak-Floer-Hofer-Wysocki and Vitero. The latter constructed a restriction
(or transfer) map associated to an embedding of one Liouville domain into
another.
  In this preprint, we look at exact Lagrangian submanifolds with Legendrian
boundary inside a Liouville domain. The analogue of symplectic cohomology for
such submanifolds is called "wrapped Floer cohomology". We construct an
A_\infty-structure on the underlying wrapped Floer complex, and (under suitable
assumptions) an A_\infty-homomorphism realizing the restriction to a Liouville
subdomain. The construction of the A_\infty-structure relies on an
implementation of homotopy direct limits, and involves some new moduli spaces
which are solutions of generalized continuation map equations.

24
The categories of this paper are: dg-ga
8
The categories of this paper are: hep-ex
35
The categories of this paper are: mtrl-th
20
The categories of this paper are: acc-phys
11
The categories of this paper are: hep-lat
1
The categories of this paper are: cs
10
The categories of this paper are: q-bio
12
The categories of this paper are: nucl-th
26
The categories of this paper are: bayes-an
37
The categories of this paper are: supr-con
18
The categories of this paper are: econ
31
The categories of this paper are: ao-sci
23
The categories of this paper are: solv-int
28
The categories of this paper are: alg-geom
22
The categories of this paper are: chao-dyn
9
The categories of this paper are: nlin