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arXiv · 1403.7864

Homotopy decomposition of diagonal arrangements

Daisuke Kishimoto·Kouyemon Iriye
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Abstract

Given a space $X$ and a simplicial complex $K$ with $m$-vertices, the arrangement of partially diagonal subspaces of $X^m$, called the dragonal arrangement, is defined. We decompose the suspension of the diagonal arrangement when $2(dim K + 1) < m$, which generalizes the result of Labassi. As a corollary, we calculate the Euler characteristic of the complement when $X$ is a closed connected manifold.

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Daisuke Kishimoto, Kouyemon Iriye. 2014-03-31. Homotopy decomposition of diagonal arrangements. https://arxiv.org/abs/1403.7864

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