The homotopy classification of four-dimensional toric orbifolds

Fu Xin; So Tseleung; Song Jongbaek

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The homotopy classification of four-dimensional toric orbifolds

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摘要

Let X be a 4-dimensional toric orbifold. If H-3(X) has a non-trivial odd primary torsion, then we show that X is homotopy equivalent to the wedge of a Moore space and a CW-complex. As a corollary, given two 4-dimensional toric orbifolds having no 2-torsion in the cohomology, we prove that they have the same homotopy type if and only their integral cohomology rings are isomorphic.

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《Proceedings of the Royal Society of Edinburgh, Section A. Mathematics》 |2022年第3期|626-648|共23页
作者
Fu Xin; So Tseleung; Song Jongbaek;
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作者单位

Ajou Univ;

Univ Regina;

KIAS;

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原文格式 PDF
正文语种英语
中图分类数学;
关键词
Cohomological rigidity; toric orbifold; TORUS; COHOMOLOGY; MANIFOLDS;

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The homotopy classification of four-dimensional toric orbifolds

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