Journal article
Invariance of symplectic cohomology and twisted cotangent bundles over surfaces
- Abstract:
- We prove that symplectic cohomology for open convex symplectic manifolds is invariant when the symplectic form undergoes deformations which may be nonexact and noncompactly supported, provided one uses the correct local system of coefficients in Floer theory. As a sample application beyond the Liouville setup, we describe in detail the symplectic cohomology for disc bundles in the twisted cotangent bundle of surfaces, and we deduce existence results for periodic magnetic geodesics on surfaces. In particular, we show the existence of geometrically distinct orbits by exploiting properties of the BV-operator on symplectic cohomology.
- Publication status:
- Published
- Peer review status:
- Peer reviewed
Actions
Access Document
- Files:
-
-
(Preview, Accepted manuscript, 761.2KB, Terms of use)
-
- Publisher copy:
- 10.1142/S0129167X20500706
Authors
- Publisher:
- World Scientific Publishing
- Journal:
- International Journal of Mathematics More from this journal
- Volume:
- 31
- Issue:
- 9
- Publication date:
- 2020-07-30
- Acceptance date:
- 2020-05-02
- DOI:
- EISSN:
-
1793-6519
- ISSN:
-
0129-167X
- Language:
-
English
- Keywords:
- Pubs id:
-
1103530
- Local pid:
-
pubs:1103530
- Deposit date:
-
2020-05-08
Terms of use
- Copyright holder:
- World Scientific Publishing Co Pte Ltd
- Copyright date:
- 2020
- Rights statement:
- © 2020 World Scientific Publishing Co Pte Ltd
- Notes:
- This is the accepted manuscript version of the article. The final version is available online from World Scientific Publishing at https://doi.org/10.1142/S0129167X20500706
If you are the owner of this record, you can report an update to it here: Report update to this record