論文

査読有り
2001年7月

Comparing the homotopy types of the components of Map(S-4, BSU(2))

JOURNAL OF PURE AND APPLIED ALGEBRA
  • S Tsukuda

161
1-2
開始ページ
235
終了ページ
243
記述言語
英語
掲載種別
研究論文(学術雑誌)
DOI
10.1016/S0022-4049(00)00093-1
出版者・発行元
ELSEVIER SCIENCE BV

We classify the homotopy types of the connected components of Map(S-4,BSU(2)). Since (pi4)(BSU(2)) = Z, the components are Map(K)(S-4,BSU(2)) consisting of maps of degree k is an element of Z. Clearly, Map(k)(S-4,BSU(2)) is homotopy equivalent to Map(-k)(S-4,BSU(2)), by composition with the antipodal map. We prove the converse, i.e. Map(k)(S-4, BSU(2)) similar or equal to Map(l)(S-4,BSU(2)) double right arrow k=+/-l. The result is of interest in gauge theory because the Map(k)(S-4, BSU(2)) are the classifying spaces of the gauge groups of SU(2) bundles over S-4. (C) 2001 Elsevier Science B.V. All rights reserved.

Web of Science ® 被引用回数 : 8

リンク情報
DOI
https://doi.org/10.1016/S0022-4049(00)00093-1
Web of Science
https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcAuth=JSTA_CEL&SrcApp=J_Gate_JST&DestLinkType=FullRecord&KeyUT=WOS:000169535600013&DestApp=WOS_CPL
ID情報
  • DOI : 10.1016/S0022-4049(00)00093-1
  • ISSN : 0022-4049
  • SCOPUS ID : 0041367046
  • Web of Science ID : WOS:000169535600013

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