On characteristic numbers of 24 dimensional string manifolds

doi:10.1007/s00209-021-02877-6

CSpace

	On characteristic numbers of 24 dimensional string manifolds
	Han, Fei 1; Huang, Ruizhi 2
	2021-09-30
发表期刊	MATHEMATISCHE ZEITSCHRIFT
ISSN	0025-5874
页码	23
摘要	In this paper, we study the Pontryagin numbers of 24 dimensional String manifolds. In particular, we find representatives of an integral basis of the String cobrodism group at dimension 24, based on the work of Mahowald and Hopkins (The structure of 24 dimensional manifolds having normal bundles which lift to BO[8], from "Recent progress in homotopy theory" (D. M. Davis, J. Morava, G. Nishida, W. S. Wilson, N. Yagita, editors), Contemp. Math. 293, Amer. Math. Soc., Providence, RI, 89-110, 2002), Borel and Hirzebruch (Am J Math 80: 459-538, 1958) and Wall (Ann Math 75:163-198, 1962). This has immediate applications on the divisibility of various characteristic numbers of the manifolds. In particular, we establish the 2-primary divisibilities of the signature and of the modified signature coupling with the integral Wu class of Hopkins and Singer (J Differ Geom 70:329-452, 2005), and also the 3-primary divisibility of the twisted signature. Our results provide potential clues to understand a question of Teichner.
DOI	10.1007/s00209-021-02877-6
收录类别	SCI
语种	英语
资助项目	National University of Singapore[AcRF R-146-000-263-114] ; Postdoctoral International Exchange Program for Incoming Postdoctoral Students under Chinese Postdoctoral Council ; Chinese Postdoctoral Science Foundation[2018M631605] ; Chinese Postdoctoral Science Foundation[2019T120145] ; National Natural Science Foundation of China[11801544] ; National Natural Science Foundation of China[11688101] ; Chen Jingrun Future Star Program of AMSS
WOS研究方向	Mathematics
WOS类目	Mathematics
WOS记录号	WOS:000702236600003
出版者	SPRINGER HEIDELBERG
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/59369
专题	中国科学院数学与系统科学研究院
通讯作者	Huang, Ruizhi
作者单位	1.Natl Univ Singapore, Dept Math, Singapore 119076, Singapore 2.Chinese Acad Sci, Inst Math & Syst Sci, Beijing 100190, Peoples R China
推荐引用方式 GB/T 7714	Han, Fei,Huang, Ruizhi. On characteristic numbers of 24 dimensional string manifolds[J]. MATHEMATISCHE ZEITSCHRIFT,2021:23.
APA	Han, Fei,&Huang, Ruizhi.(2021).On characteristic numbers of 24 dimensional string manifolds.MATHEMATISCHE ZEITSCHRIFT,23.
MLA	Han, Fei,et al."On characteristic numbers of 24 dimensional string manifolds".MATHEMATISCHE ZEITSCHRIFT (2021):23.