点群胚的Orbifold K-理论
Orbifold K-Theory of Point Orbifolds
DOI: 10.12677/PM.2018.84061, PDF,   
作者: 林奕武*：广东金融学院，金融数学与统计学院，广东 广州
关键词: Orbifold丛；群胚；点群胚；Orbifold K-理论；有限群表示；特征标；Orbifold Bundle； Groupoid； Point Orbifold； Orbifold K-Theory； Representation of Finite Group； Character
摘要: 本文以点群胚为例子，计算点群胚上Orbifold K-理论的几类环结构，并且比较这几类环结构之间的差异。
Abstract: In this paper we study the point orbifold, and calculate some kinds of ring structure of point orr-bifolds. Then we compare the difference among these ring structures.
文章引用：林奕武. 点群胚的Orbifold K-理论[J]. 理论数学, 2018, 8(4): 459-466. https://doi.org/10.12677/PM.2018.84061

参考文献

[1] Adem, A. and Ruan, Y. (2003) Twisted Orbifold K-Theory. Communications in Mathematical Physics, 237, 533-556. [Google Scholar] [CrossRef] 
[2] Adem, A., Ruan, Y. and Zhang, B. (2007) A Stringy Product on Twisted Or-bifold K-Theory. Morfismos, 11, 33-64.
[3] Cheng, C. (2015) A Character Theory for Projective Representations of Finite Groups. Linear Algebra and Its Applications, 469, 230-242. [Google Scholar] [CrossRef] 
[4] Hu, J. and Wang, B.-L. (2013) Delocalized Chern Character for Stringy Orbifold K-Theory. Transactions of the American Mathematical Society, 365, 6309-6341. [Google Scholar] [CrossRef] 
[5] Lin, Y. (2017) Twisted Orbifold K-Theory for Global Quotient. Topology and Its Applications, 225, 9-26. [Google Scholar] [CrossRef] 
[6] Segal, G.B. (1968) Equivariant K-Theory. Publications mathématiques de l’IHÉS, 34, 129-151. [Google Scholar] [CrossRef] 

为你推荐