Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Algorithmic Symplectic Packing   In this article we explore a symplectic packing problem where the targets and
domains are $2n$-dimensional symplectic manifolds. We work in the context where
the manifolds have first homology group equal to $\mathbb{Z}^n$, and we require
the embeddings to induce isomorphisms between first homology groups. In this
case, Maley, Mastrangeli and Traynor showed that the problem can be reduced to
a combinatorial optimization problem, namely packing certain allowable
simplices into a given standard simplex. They designed a computer program and
presented computational results. In particular, they determined the simplex
packing widths in dimension four for up to $k=12$ simplices, along with lower
bounds for higher values of $k$. We present a modified algorithmic approach
that allows us to determine the $k$-simplex packing widths for up to $k = 13$
simplices in dimension four and up to $k = 8$ simplices in dimension six.
Moreover, our approach determines all simplex-multisets that allow for optimal
packings.

18
The categories of this paper are: econ
16
The categories of this paper are: stat
20
The categories of this paper are: acc-phys
31
The categories of this paper are: ao-sci
3
The categories of this paper are: physics
28
The categories of this paper are: alg-geom
36
The categories of this paper are: cmp-lg
37
The categories of this paper are: supr-con
6
The categories of this paper are: astro-ph
33
The categories of this paper are: plasm-ph
14
The categories of this paper are: math-ph
13
The categories of this paper are: quant-ph
11
The categories of this paper are: hep-lat
23
The categories of this paper are: solv-int
12
The categories of this paper are: nucl-th
29
The categories of this paper are: funct-an