Construction of symplectic flexible links
Symplectic Geometry
2025-05-06 v2 Geometric Topology
Abstract
We show that any smooth one-dimensional link in the real projective three-plane is the fixed-point locus of a smooth symplectic surface in the complex projective three-plane which is invariant under complex conjugation. The degree of the surface can be taken to be either one or two, depending on the homology class of the link. In other words, there are no obstructions to finding a symplectic representative of a flexible link beyond the classical topology.
Cite
@article{arxiv.2412.20966,
title = {Construction of symplectic flexible links},
author = {Johan Björklund and Georgios Dimitroglou Rizell},
journal= {arXiv preprint arXiv:2412.20966},
year = {2025}
}
Comments
20 pages. Revised version with some minor fixes