The homotopy type of spaces of coprime polynomials revisited
The homotopy type of spaces of coprime polynomials revisited
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重温互质多项式空间的同伦型
DOI：
10.1016/j.topol.2016.03.033
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发表时间：
2016
期刊：
影响因子：
--
通讯作者：
A. Kozlowski and K. Yamaguchi
中科院分区：
文献类型：
--
作者：
Kozlowski A.;Yamaguchi K.;K. Yamaguchi;Masahiro Ohno;A. Kozlowski and K. Yamaguchi;A. Kozlowski and K. Yamaguchi;A. Kozlowski and K. Yamaguchi
本文的目的是研究某些环型变体X I的拓扑结构，它们是C作用于C中坐标子空间的补上的商，并利用Vassiliev谱序列提高[11]中包含图d （s2, X I）→map d （s2, X I）的同伦稳定性维数。我们还改进了G. Segal[18]给出的当X I= C P n−1和n≥3时的同伦稳定性维数。
The purpose of this paper is to study the topology of certain toric varieties X I, arising as quotients of the action of C⁎ on complements of arrangements of coordinate subspaces in C n, and to improve the homotopy stability dimension for the inclusion map i d: Hol d⁎(S 2, X I)→ Map d⁎(S 2, X I) given in [11] by making use of the Vassiliev spectral sequence. We also improve the homotopy stability dimension of this inclusion given by G. Segal [18] for X I= C P n− 1 and n≥ 3.