紀要論文 ORDER OF THE CANONICAL VECTOR BUNDLE OVER CONFIGURATION SPACES OF PROJECTIVE SPACES

Ren, Shiquan

54 ( 4 )  , pp.623 - 634 , 2017-10 , Osaka University and Osaka City University, Departments of Mathematics
ISSN:00306126
NII書誌ID(NCID):AA00765910
内容記述
The order of a vector bundle is the smallest positive integer n such that the vector bundle’s n-fold self-Whitney sum is trivial. Since 1970’s, the order of the canonical vector bundle over configuration spaces of Euclidean spaces has been studied by F.R. Cohen, R.L. Cohen, N.J. Kuhn and J.L. Neisendorfer [4], F.R. Cohen, M.E. Mahowald and R.J. Milgram [6], and S.W. Yang [17, 18]. And the order of the canonical vector bundle over configuration spaces of closed orientable Riemann surfaces with genus greater than or equal to one has been studied by F.R. Cohen, R.L. Cohen, B. Mann and R.J. Milgram [5]. In this paper, we study the order of the canonical vector bundle over configuration spaces of projective spaces as well as of the Cartesian products of a projective space and a Euclidean space.
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http://ir.library.osaka-u.ac.jp/repo/ouka/all/67003/ojm54_04_623.pdf

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