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作者(中文):曾國恩
作者(外文):Tseng, Guo-En
論文名稱(中文):BSO(8)之K理論之穩定分解
論文名稱(外文):Stable splitting of the complex connective K-theory of BSO(8)
指導教授(中文):顏東勇
指導教授(外文):Yan, Dung-Yung
口試委員(中文):王信華
李華倫
口試委員(外文):Wang, Shin-Hwa
Li, Hua-Lun
學位類別:碩士
校院名稱:國立清華大學
系所名稱:數學系
學號:105021610
出版年(民國):107
畢業學年度:106
語文別:英文
論文頁數:26
中文關鍵詞:代數拓樸複連通K理論分類空間
外文關鍵詞:Algebraic TopologyComplex connective K-theoryClassifying space
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透過BSO(8)之上同調作為E= Z/2<Q0,Q1>模之代數分解,我們分解了BSO(8)的複連通K理論。
Through the algebraic splitting of cohomology of BSO(8) as E= Z/2<Q0,Q1>-module, we give the stable splitting of the complex connective K-theory of BSO(8).
1. Introduction                 1
2. The E-module structure of H*(BSO(8))     4
3. Proof of theorem B             22
4. Reference                 26
[1] J. F. Adam, & J. F. Adam (1995). Stable homotopy and generalised homology, University of Chicago press.
[2] B. R. Burner and J. P. C. Greenlees, The connective K-theory of finite groups, Mem. Amer. Math. Soc., no. 785, (2003), Chap. 2.
[3] A. Liulevicius, The cohomology of Massey-Peterson algebras, Math. Zeitschr., 105, (1968), 226-256.
[4] E. Ossa, Connective K-theory of of elementary abelian groups, Transformation Groups, Osaka 1987, K. Kawakubo (ed.), Springer Lecture Notes in Mathematics, 1375, (1989), 269-275.
[5] N. E. Steenrod, & D. B. Epstein (1962). Cohomology operations (No. 50-51). Princeton University Press.
[6] T. H. Wu, Stable splittings of the complex connective K-theory of BSO(2n+1), Math. J. Okayama Univ., 60, (2018), 73-89.
[7] W. T. Wu, Classes caractéristiques et i-carrés d'une variété, Comptes Rendus, 230, (1950), 508-511.
[8] Y. J. Wong, (2016). Algebraic splitting of cohomology of BSO(7), Unpublished master's thesis, National Tsing Hua University, Hsin-Chu City, Taiwan.
[9] W. S. Wilson and D. Y. Yan, Stable splitting of the complex connective K-theory of BO(n), Topology and its Applications, 159, (2012), 1409-1414.
 
 
 
 
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