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On characteristic numbers of 24 dimensional string manifolds

文献类型：期刊论文

作者Han, Fei1; Huang, Ruizhi2
刊名MATHEMATISCHE ZEITSCHRIFT
出版日期2021-09-30
页码23
ISSN号0025-5874
DOI10.1007/s00209-021-02877-6
英文摘要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.
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
语种英语
WOS记录号WOS:000702236600003
出版者SPRINGER HEIDELBERG
源URL[http://ir.amss.ac.cn/handle/2S8OKBNM/59368]  
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.

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来源：数学与系统科学研究院

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