$\mathbb {\mathcal {C}}^{0}$-rigidity of Lagrangian submanifolds and punctured holomorphic disks in the cotangent bundle. (3rd November 2021)
- Record Type:
- Journal Article
- Title:
- $\mathbb {\mathcal {C}}^{0}$-rigidity of Lagrangian submanifolds and punctured holomorphic disks in the cotangent bundle. (3rd November 2021)
- Main Title:
- $\mathbb {\mathcal {C}}^{0}$-rigidity of Lagrangian submanifolds and punctured holomorphic disks in the cotangent bundle
- Authors:
- Membrez, Cedric
Opshtein, Emmanuel - Abstract:
- Abstract: Our main result is the $\mathbb {\mathcal {C}}^{0}$ -rigidity of the area spectrum and the Maslov class of Lagrangian submanifolds. This relies on the existence of punctured pseudoholomorphic disks in cotangent bundles with boundary on the zero section, whose boundaries represent any integral homology class. We discuss further applications of these punctured disks in symplectic geometry.
- Is Part Of:
- Compositio mathematica. Volume 157:Number 11(2021)
- Journal:
- Compositio mathematica
- Issue:
- Volume 157:Number 11(2021)
- Issue Display:
- Volume 157, Issue 11 (2021)
- Year:
- 2021
- Volume:
- 157
- Issue:
- 11
- Issue Sort Value:
- 2021-0157-0011-0000
- Page Start:
- 2433
- Page End:
- 2493
- Publication Date:
- 2021-11-03
- Subjects:
- $\mathbb {\mathcal {C}}^{0}$-symplectic geometry -- Lagrangian rigidity
53D05 -- 53D12
Mathematics -- Periodicals
510 - Journal URLs:
- http://journals.cambridge.org/action/displayJournal?jid=COM ↗
- DOI:
- 10.1112/S0010437X21007570 ↗
- Languages:
- English
- ISSNs:
- 0010-437X
- Deposit Type:
- Legaldeposit
- View Content:
- Available online (eLD content is only available in our Reading Rooms) ↗
- Physical Locations:
- British Library DSC - 3366.000000
British Library STI - ELD Digital Store - Ingest File:
- 25116.xml