Joshua Evan Greene
Cyclic quadrilaterals and smooth Jordan curves
Greene, Joshua Evan; Lobb, Andrew
Authors
Professor Andrew Lobb andrew.lobb@durham.ac.uk
Professor
Contributors
Professor Andrew Lobb andrew.lobb@durham.ac.uk
Other
Abstract
For every smooth Jordan curve γ and cyclic quadrilateral Q in the Euclidean plane, we show that there exists an orientation-preserving similarity taking the vertices of Q to γ. The proof relies on the theorem of Polterovich and Viterbo that an embedded Lagrangian torus in C2 has minimum Maslov number 2.
Citation
Greene, J. E., & Lobb, A. (2023). Cyclic quadrilaterals and smooth Jordan curves. Inventiones Mathematicae, 234(3), 931–935. https://doi.org/10.1007/s00222-023-01212-6
Journal Article Type | Article |
---|---|
Acceptance Date | Jul 25, 2023 |
Online Publication Date | Aug 2, 2023 |
Publication Date | 2023 |
Deposit Date | Aug 24, 2023 |
Publicly Available Date | Aug 3, 2024 |
Journal | Inventiones mathematicae |
Print ISSN | 0020-9910 |
Electronic ISSN | 1432-1297 |
Publisher | Springer |
Peer Reviewed | Peer Reviewed |
Volume | 234 |
Issue | 3 |
Pages | 931–935 |
DOI | https://doi.org/10.1007/s00222-023-01212-6 |
Public URL | https://durham-repository.worktribe.com/output/1724240 |
Files
Accepted Journal Article
(322 Kb)
PDF
Copyright Statement
This version of the article has been accepted for publication, after peer review (when applicable) and is subject to Springer Nature’s AM terms of use, but is not the Version of Record and does not reflect post-acceptance improvements, or any corrections. The Version of Record is available online at: https://doi.org/10.1007/s00222-023-01212-6
You might also like
A calculus for flow categories
(2022)
Journal Article
Almost positive links are strongly quasipositive
(2022)
Journal Article
A refinement of Khovanov homology
(2021)
Journal Article
A counterexample to Batson's conjecture
(2019)
Journal Article
Threaded Rings that Swim in Excitable Media
(2019)
Journal Article
Downloadable Citations
About Durham Research Online (DRO)
Administrator e-mail: dro.admin@durham.ac.uk
This application uses the following open-source libraries:
SheetJS Community Edition
Apache License Version 2.0 (http://www.apache.org/licenses/)
PDF.js
Apache License Version 2.0 (http://www.apache.org/licenses/)
Font Awesome
SIL OFL 1.1 (http://scripts.sil.org/OFL)
MIT License (http://opensource.org/licenses/mit-license.html)
CC BY 3.0 ( http://creativecommons.org/licenses/by/3.0/)
Powered by Worktribe © 2024
Advanced Search