The flow category of the action functional on LG(N,N+K)(C)

Authors
Hurtubise, DE
Citation
De. Hurtubise, The flow category of the action functional on LG(N,N+K)(C), ILL J MATH, 44(1), 2000, pp. 33-50
Citations number
17
Categorie Soggetti
Mathematics
Journal title
ILLINOIS JOURNAL OF MATHEMATICS
ISSN journal
00192082 → ACNP
Volume
44
Issue
1
Year of publication
2000
Pages
33 - 50
Database
ISI
SICI code
0019-2082(200021)44:1<33:TFCOTA>2.0.ZU;2-X
Abstract
The flow category of a Morse-Bott-Smale function f(A): G(n)(C infinity) --> R is shown to be related to the flow category of the action functional on the universal cover of LG(n,n+k)(C) via a group action. The Fleer homotopy type and the associated cohomology ring of f(A): G(n)(C infinity) --> R are computed. When n = 1 this cohomology ring is the Floer cohomology of G(1,1 +k)(C).