Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Integrable evolutions of twisted polygons in centro-affine
  $\mathbb{R}^m$   We show that discrete $W_m$ lattices are bi-Hamiltonian, using geometric
realizations of discretizations of the Adler-Gel'fand-Dikii flows as local
evolutions of arc length-parametrized polygons in centro-affine space. We prove
the compatibility of two known Hamiltonian structure defined on the space of
geometric invariants by lifting them to a pair of pre-symplectic forms on the
space of arc length parametrized polygons. The simplicity of the expressions of
the pre-symplectic forms makes the proof of compatibility straightforward. We
also study their kernels and possible integrable systems associated to the
pair.

23
The categories of this paper are: solv-int
28
The categories of this paper are: alg-geom
12
The categories of this paper are: nucl-th
11
The categories of this paper are: hep-lat
7
The categories of this paper are: hep-th
24
The categories of this paper are: dg-ga
6
The categories of this paper are: astro-ph
19
The categories of this paper are: eess
21
The categories of this paper are: adap-org
20
The categories of this paper are: acc-phys
34
The categories of this paper are: chem-ph
25
The categories of this paper are: patt-sol
22
The categories of this paper are: chao-dyn
8
The categories of this paper are: hep-ex
27
The categories of this paper are: comp-gas
1
The categories of this paper are: cs