Yukiko Fukukawa

  1. Buchstaber invariants of skeleta of a simplex.

    Authors: Yukiko Fukukawa, Mikiya Masuda
    Subjects: Algebraic Topology
    Abstract

    A moment-angle complex $\mathcal{Z}_K$ is a compact topological space
    associated with a finite simplicial complex $K$. It is realized as a subspace
    of a polydisk $(D^2)^m$, where $m$ is the number of vertices in $K$ and $D^2$
    is the unit disk of the complex numbers $\C$, and the natural action of a torus
    $(S^1)^m$ on $(D^2)^m$ leaves $\mathcal{Z}_K$ invariant. The Buchstaber
    invariant $s(K)$ of $K$ is the maximum integer for which there is a subtorus of
    rank $s(K)$ acting on $\mathcal{Z}_K$ freely.

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