Infinitely many exotic Lagrangian tori in higher projective spaces
Abstract In de Velloso Vianna (J Topol 9(2):535-551, 2016), Vianna constructed infinitely many exotic Lagrangian tori in $$\mathbb {P}^2$$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:msup> <mml:mrow> <mml:mi>P</mml:mi> </mml:mrow> <mml:mn>2</mml:mn> </mml:msup> </mml:math> . We lift these tori to higher dimensional projective spaces and show that they remain non-symplectomorphic. Our proof is elementary except for an application of the wall-crossing formula of Pascaleff and Tonkonog (Adv Math 361:106850, 2020).
Authors
- Luya Wang (ORCID: https://orcid.org/0000-0001-6092-0720)
- Amanda Hirschi
- Soham Chanda (ORCID: https://orcid.org/0000-0002-2327-6224)
Institutions
- University of Southern California (US)
- Université Paris Cité (FR)
- Institut de Mathématiques de Jussieu-Paris Rive Gauche (FR)
- Sorbonne Université (FR)
- Institute for Advanced Study (US)
Publication Details
- Journal
- Journal of Fixed Point Theory and Applications
- Published
- 2024-10-09
- DOI
- https://doi.org/10.1007/s11784-024-01137-4
- Citations
- 1
- Primary Topic
- Geometric and Algebraic Topology
- Type
- article
- Field-Weighted Citation Impact
- 1.01
Funders
- National Science Foundation
- University of Southern California
- Yuhan