The Library
Closed 1-forms in topology and dynamics
Tools
Tools
Tools
Farber, Michael and Schutz, Dirk (2009) Closed 1-forms in topology and dynamics. Russian Mathematical Surveys, Vol.63 (No.6). pp. 1079-1139. doi:10.1070/RM2008v063n06ABEH004579 ISSN 0036-0279.
Research output not available from this repository.
Request-a-Copy directly from author or use local Library Get it For Me service.
Official URL: http://dx.doi.org/10.1070/RM2008v063n06ABEH004579
Abstract
This article surveys recent progress of results in topology and dynamics based on techniques of closed 1-forms. Our approach lets us draw conclusions about properties of flows by studying homotopical and cohomological features of manifolds. More specifically, a Lusternik-Schnirelmann type theory for closed 1-forms is described, along with the focusing effect for flows and the theory of Lyapunov 1-forms. Also discussed are recent results about cohomological treatment of the invariants and and their explicit computation in certain examples.
| Item Type: | Journal Article | ||||
|---|---|---|---|---|---|
| Subjects: | Q Science > QA Mathematics | ||||
| Divisions: | Faculty of Science, Engineering and Medicine > Science > Mathematics | ||||
| Journal or Publication Title: | Russian Mathematical Surveys | ||||
| Publisher: | Turpion Ltd. | ||||
| ISSN: | 0036-0279 | ||||
| Official Date: | 2009 | ||||
| Dates: |
|
||||
| Volume: | Vol.63 | ||||
| Number: | No.6 | ||||
| Page Range: | pp. 1079-1139 | ||||
| DOI: | 10.1070/RM2008v063n06ABEH004579 | ||||
| Status: | Peer Reviewed | ||||
| Publication Status: | Published |
Request changes or add full text files to a record
Repository staff actions (login required)
 |
View Item |
