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arXiv · 2308.14138

Higher (equivariant) topological complexity of Milnor manifolds

Navnath Daundkar·Bittu Singh
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Abstract

J. Milnor introduced a specific class of codimension-$1$ submanifolds in the product of projective spaces, known as Milnor manifolds. This paper establishes precise bounds on the higher topological complexity of these manifolds and provides exact values for this invariant for numerous Milnor manifolds. Furthermore, we improve the upper bounds on the higher equivariant topological complexity. As an application, we obtain sharper bounds on the higher equivariant topological complexity of Milnor manifolds with free $\mathbb{Z}_2$ and $S^1$-actions.

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Navnath Daundkar, Bittu Singh. 2023-08-27. Higher (equivariant) topological complexity of Milnor manifolds. https://doi.org/10.1007/s40062-025-00376-7

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