Transfer maps of sphere bundles

• IMAOKA Mitsunori

  Department of Mathematcs Faculty of Education Hiroshima University

• KNAPP Karlheinz

  Bergische Universität Gesamthochschule Wuppertal

Abstract

Generalizing the transfer maps concerned with the projective spaces, we study some fundamental properties of transfer maps for sphere bundles. We show that their cofibers are represented by Thom spectra, which enables us to calculate the e-invariants of the transfer maps. We give some concrete formula for the e-invariants of them and its application.

Journal

• Journal of the Mathematical Society of Japan

  Journal of the Mathematical Society of Japan 52 (2), 363-372, 2000

  The Mathematical Society of Japan

Keywords

• Transfer map
• sphere bundle
• <i>e</i>-invariant

Details

• CRID: 1390001205116004480
• NII Article ID: 10004480256
• NII Book ID: AA0070177X
• DOI: 10.2969/jmsj/05220363
• ISSN: 18811167
• ISSN: 18812333
• ISSN: 00255645
• MRID: 1742798
• NDL BIB ID: 5374846
• Web Site: https://ndlsearch.ndl.go.jp/books/R000000004-I5374846
• Text Lang: en
• Data Source:
  • JaLC
  • NDL
  • Crossref
  • CiNii Articles
• Abstract License Flag: Disallowed