This paper is an attempt to axiomatize the notion of oriented homology theory. Under the axioms in question, a Chern structure determines an orientation and vice versa. The main result of the paper is the projective bundle theorem in §2.

Original languageEnglish
Pages (from-to)805-828
Number of pages24
JournalSt. Petersburg Mathematical Journal
Volume19
Issue number5
DOIs
StatePublished - 1 Jan 2008

    Research areas

  • Chern class, Homology theory, Orientation, Thom isomorphism

    Scopus subject areas

  • Analysis
  • Algebra and Number Theory
  • Applied Mathematics

ID: 36910448