Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Small energy isotopies of loose Legendrian submanifolds   We prove that for a closed Legendrian submanifold $L$ of dimension $n > 2$
with a loose chart of size $\eta$, any Legendrian isotopy starting at $L$ can
be $C^0$-approximated by a Legendrian isotopy with energy arbitrarily close to
$\frac{\eta}{2}$. This in particular implies that the displacement energy of
loose displaceable Legendrians is bounded by half the size of its smallest
loose chart, which proves a conjecture of Dimitroglou Rizell and Sullivan.

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The categories of this paper are: hep-ph
22
The categories of this paper are: chao-dyn
7
The categories of this paper are: hep-th
24
The categories of this paper are: dg-ga
23
The categories of this paper are: solv-int
9
The categories of this paper are: nlin
25
The categories of this paper are: patt-sol
32
The categories of this paper are: atom-ph
31
The categories of this paper are: ao-sci
18
The categories of this paper are: econ
6
The categories of this paper are: astro-ph
3
The categories of this paper are: physics
5
The categories of this paper are: gr-qc
20
The categories of this paper are: acc-phys
36
The categories of this paper are: cmp-lg
27
The categories of this paper are: comp-gas