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Intersection pairings on Conley indices
About this Title
Henry L. Kurland
Publication: Memoirs of the American Mathematical Society
Publication Year:
1996; Volume 119, Number 571
ISBNs: 978-0-8218-0440-7 (print); 978-1-4704-0150-4 (online)
DOI: https://doi.org/10.1090/memo/0571
MathSciNet review: 1327211
MSC: Primary 58F25; Secondary 34B99, 34C35, 34E15, 55N99
Table of Contents
Chapters
- Introduction
- 1. Basic notation and background definitions
- 2. The intersection pairings $\mathsf {L}$, $\mathfrak {L}$, and $^\#\mathfrak {L}$
- 3. Statement of the continuation results and examples
- 4. Construction of bilinear pairings on Conley indices
- 5. Proofs of the continuation results
- 6. Some basic computational tools
- 7. $\mathfrak {L}$ for normally hyperbolic invariant submanifolds
- 8. Products of intersection pairings
- 9. The cap product representation of $\mathfrak {L}$ and the nonsingularity of $^\#\mathfrak {L}$
- Appendix A
- Appendix B