Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: How many simplices are needed to triangulate a Grassmannian?   We compute a lower bound for the number of simplices that are needed to
triangulate the Grassmann manifold $G_k(\mathbb{R}^n)$. In particular, we show
that the number of top-dimensional simplices grows exponentially with $n$. More
precise estimates are given for $k=2,3,4$. Our method can be used to estimate
the minimal size of triangulations for other spaces, like Lie groups, flag
manifolds, Stiefel manifolds etc.

5
The categories of this paper are: gr-qc
15
The categories of this paper are: nucl-ex
17
The categories of this paper are: q-fin
8
The categories of this paper are: hep-ex
24
The categories of this paper are: dg-ga
18
The categories of this paper are: econ
25
The categories of this paper are: patt-sol
3
The categories of this paper are: physics
11
The categories of this paper are: hep-lat
21
The categories of this paper are: adap-org
7
The categories of this paper are: hep-th
1
The categories of this paper are: cs
6
The categories of this paper are: astro-ph
27
The categories of this paper are: comp-gas
0
The categories of this paper are: hep-ph
10
The categories of this paper are: q-bio