发表机构
Shanghai Institute for Mathematics and Interdisciplinary Sciences; Institute of Mathematical Science, Pusan National University; Department of Mathematics Education, Pusan National University; Mathematical Sciences, University of Southampton（上海数学与交叉学科研究院; 釜山国立大学数学科学研究所; 釜山国立大学数学教育系; 南安普顿大学数学科学系）
机构由 AI 辅助整理，请以论文原文为准。AI 中文总结
本文研究上同调刚性问题的变体，证明当两个拟环流流形的上同调环同构且其中一个的多胞体为单纯形乘积时，它们在局部化掉显式素数列表后同伦等价。
AI 中文摘要
我们考虑上同调刚性问题的变体：两个上同调环同构的拟环流流形是否同伦等价。我们证明，若两个拟环流流形的上同调环同构，且其中一个流形对应的多胞体是单纯形的乘积，则它们在局部化掉一个显式素数列表后同伦等价。
英文摘要
We consider a variation of the Cohomological Rigidity Problem: whether two quasitoric manifolds whose cohomology rings are isomorphic are homotopy equivalent. We show that if two quasitoric manifolds have isomorphic cohomology rings and the associated polytope of one of them is a product of simplices, then they are homotopy equivalent after localizing away from an explicit list of primes.
Comments16 pages
