广义复射影乘积空间
On generalized complex projective product spaces
浏览论文内容
中文总结 AI 辅助
本文引入广义复射影乘积空间扩展了既有概念，研究其整上同调环、稳定切丛等，计算了LS范畴精确值，丰富了光滑流形的相关研究。
中文摘要 AI 辅助
流形上的自由圆周作用已在多篇文章中被研究。Gonzalez和Velasco考虑了球面有限乘积上的一些自由圆周作用。本文中，我们引入广义复射影乘积空间，扩展了他们的定义及Dold流形的概念，这产生了无穷多类不同的新光滑流形。首先，我们研究了某些广义复射影乘积空间上的整上同调环和稳定切丛；然后，我们讨论了强等变TC的乘积不等式，展示了几类广义复射影乘积空间的LS范畴和拓扑复杂性的上下界接近程度，在许多情况下计算了LS范畴的精确值。
英文摘要
Free circle action on manifolds has been explored in several articles. Gonzalez and Velasco considered some free circle actions on the finite product of spheres. In this paper, we introduce generalized complex projective product spaces, extending their definition and the concept of Dold manifolds. This produces infinitely many different classes of new smooth manifolds. First, we study the integral cohomology rings and stable tangent bundles on certain generalized complex-projective product spaces. Then, we discuss the product inequality for strongly equivaraint TC. We exhibit the closeness of the lower and upper bounds for the LS-category and topological complexity of several classes of generalized complex projective product spaces. In many cases, we compute the exact value of the LS-category.
发表机构
- Indian Institute of Technology Madras（印度马德拉斯理工学院）
机构由 AI 辅助整理，请以论文原文为准。
