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arXiv · 2006.13993

Approximate triangulations of Grassmann manifolds

Kevin P. Knudson
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Abstract

We define the notion of an approximate triangulation for a manifold $M$ embedded in euclidean space. The basic idea is to build a nested family of simplicial complexes whose vertices lie in $M$ and use persistent homology to find a complex in the family whose homology agrees with that of $M$. Our key examples are various Grassmann manifolds $G_k({\mathbb R}^n)$.

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Kevin P. Knudson. 2020-06-24. Approximate triangulations of Grassmann manifolds. https://doi.org/10.3390/a13070172

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