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Degree theory for equivariant maps, the general $S^1$-action


About this Title

Jorge Ize, Ivar Massabò and Alfonso Vignoli

Publication: Memoirs of the American Mathematical Society
Publication Year 1992: Volume 100, Number 481
ISBNs: 978-0-8218-2542-6 (print); 978-1-4704-0058-3 (online)
DOI: http://dx.doi.org/10.1090/memo/0481
MathSciNet review: 1126179
MSC (1991): Primary 58E09; Secondary 34C25, 47H11, 58F22

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Table of Contents


Chapters

  • 1. Preliminaries
  • 2. Extensions of $S^1$-maps
  • 3. Homotopy groups of $S^1$-maps
  • 4. Degree of $S^1$-maps
  • 5. $S^1$-index of an isolated non-stationary orbit and applications
  • 6. Index of an isolated orbit of stationary solutions and applications
  • 7. Virtual periods and orbit index
  • Appendix. Additivity up to one suspension

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