The rectangular peg problem
From MaRDI portal
Publication:1983099
DOI10.4007/annals.2021.194.2.4zbMath1472.51010arXiv2005.09193OpenAlexW3195020252MaRDI QIDQ1983099
Andrew Lobb, Joshua Evan Greene
Publication date: 15 September 2021
Published in: Annals of Mathematics. Second Series (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2005.09193
Lagrangian submanifolds; Maslov index (53D12) Euclidean geometries (general) and generalizations (51M05) History of geometry (51-03)
Related Items (11)
Families of similar simplices inscribed in most smoothly embedded spheres ⋮ Every Jordan curve inscribes uncountably many rhombi ⋮ On the square peg problem and its relatives ⋮ Non-orientable slice surfaces and inscribed rectangles ⋮ Cyclic quadrilaterals and smooth Jordan curves ⋮ On a topological Erdős similarity problem ⋮ On sets intersecting every square of the plane ⋮ MATRIX-MFO tandem workshop: Invariants and structures in low-dimensional topology. Abstracts from the MATRIX-MFO tandem workshop held September 5--11, 2021 (hybrid meeting) ⋮ Rectangles conformally inscribed in lines ⋮ Configuration spaces, multijet transversality, and the square-peg problem ⋮ Rectangles, curves, and Klein bottles
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Nonorientable slice genus can be arbitrarily large
- Inscribed rectangles in a smooth Jordan curve attain at least one third of all aspect ratios
- A trichotomy for rectangles inscribed in Jordan loops
- A Survey on the Square Peg Problem
- Dehn twist exact sequences through Lagrangian cobordism
- The Topology of Square Pegs in Round Holes
- Homology class of a Lagrangian Klein bottle
- Lagrangian embeddings of the Klein bottle and combinatorial properties of mapping class groups
- AN INTEGRATION APPROACH TO THE TOEPLITZ SQUARE PEG PROBLEM
- Hamiltonian Group Actions and Equivariant Cohomology
This page was built for publication: The rectangular peg problem
