Bott formula of the Maslov-type index theory

Authors
Long, YM
Citation
Ym. Long, Bott formula of the Maslov-type index theory, PAC J MATH, 187(1), 1999, pp. 113-149
Citations number
32
Categorie Soggetti
Mathematics
Journal title
PACIFIC JOURNAL OF MATHEMATICS
ISSN journal
00308730 → ACNP
Volume
187
Issue
1
Year of publication
1999
Pages
113 - 149
Database
ISI
SICI code
0030-8730(199901)187:1<113:BFOTMI>2.0.ZU;2-R
Abstract
In this paper the integer valued omega-index theory parameterized by all om ega on the unit circle for paths in the symplectic group Sp(2n) is establis hed. Based on this index theory, the Bott formula of the Maslov-type index theory for iterated paths in Sp(2n) is estalished, the mean index for perio dic solutions of Hamiltonian systems is defined, and the increasing estimat e of the iterated Maslov-type index in terms of the mean index is proved.