Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Flexible Lagrangians   We introduce and discuss notions of regularity and flexibility for Lagrangian
manifolds with Legendrian boundary in Weinstein domains. There is a surprising
abundance of flexible Lagrangians. In turn, this leads to new constructions of
Legendrians submanifolds and Weinstein manifolds. For instance, many closed
$n$-manifolds of dimension $n>2$ can be realized as exact Lagrangian
submanifolds of $T^*S^n$ with possibly exotic Weinstein symplectic structures.
These Weinstein structures on $T^* S^n$, infinitely many of which are distinct,
are formed by a single handle attachment to the standard $2n$-ball along the
Legendrian boundaries of flexible Lagrangians. We also formulate a number of
open problems.

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The categories of this paper are: nlin
27
The categories of this paper are: comp-gas
0
The categories of this paper are: hep-ph
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The categories of this paper are: nucl-ex
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The categories of this paper are: hep-th
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The categories of this paper are: gr-qc
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The categories of this paper are: nucl-th
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The categories of this paper are: stat
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The categories of this paper are: quant-ph
1
The categories of this paper are: cs
23
The categories of this paper are: solv-int
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The categories of this paper are: mtrl-th
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The categories of this paper are: adap-org
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The categories of this paper are: q-bio
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The categories of this paper are: funct-an
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The categories of this paper are: supr-con