Topological complexity of real Grassmannians

Pavesic Petar

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Topological complexity of real Grassmannians

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We use some detailed knowledge of the cohomology ring of real Grassmann manifolds G(k)(Double-struck capital R-n) to compute zero-divisor cup-length and estimate topological complexity of motion planning for k-linear subspaces in Double-struck capital R-n. In addition, we obtain results about monotonicity of Lusternik-Schnirelmann category and topological complexity of G(k)(Double-struck capital R-n) as a function of n.

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《Proceedings of the Royal Society of Edinburgh, Section A. Mathematics》 |2021年第6期|2013-2029|共17页
作者
Pavesic Petar;
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作者单位

Univ Ljubljana;

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原文格式 PDF
正文语种英语
中图分类数学;
关键词
Topological complexity; Lusternik-Schnirelmann category; Stiefel-Whitney classes; Grassmann manifold; zero divisor cup-length;

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Topological complexity of real Grassmannians

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