Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On the wrapped Fukaya category and the loop space of Lagrangians in a
  Liouville manifold   We introduce an $A_\infty$ map from the cubical chain complex of the based
loop space of Lagrangian submanifolds with Legendrian boundary in a Liouville
Manifold $C_{*}(\Omega_{L} \mathcal{L}\mathit{ag})$ to wrapped Floer cohomology
of Lagrangian submanifold $\mathcal{CW}^{-*}(L,L)$. In the case of a cotangent
bundle and a Lagrangian co-fiber, the composition of our map with a previously
constructed map from $\mathcal{CW}^*(L,L) \to C_{*}(\Omega_q Q) $ shows that
this map is split surjective.

18
The categories of this paper are: econ
32
The categories of this paper are: atom-ph
23
The categories of this paper are: solv-int
13
The categories of this paper are: quant-ph
20
The categories of this paper are: acc-phys
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The categories of this paper are: chem-ph
35
The categories of this paper are: mtrl-th
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The categories of this paper are: nucl-th
3
The categories of this paper are: physics
9
The categories of this paper are: nlin
5
The categories of this paper are: gr-qc
10
The categories of this paper are: q-bio
11
The categories of this paper are: hep-lat
4
The categories of this paper are: cond-mat
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The categories of this paper are: comp-gas
24
The categories of this paper are: dg-ga