Legendrian singular links and singular connected sums
Geometric Topology
2021-01-11 v2 Symplectic Geometry
Abstract
We study Legendrian singular links up to contact isotopy. Using a special property of the singular points, we define the singular connected sum of Legendrian singular links. This concept is a generalization of the connected sum and can be interpreted as a tangle replacement, which provides a way to classify Legendrian singular links. Moreover, we investigate several phenomena only occur in the Legendrian setup.
Keywords
Cite
@article{arxiv.1503.00818,
title = {Legendrian singular links and singular connected sums},
author = {Byung Hee An and Youngjin Bae and Seonhwa Kim},
journal= {arXiv preprint arXiv:1503.00818},
year = {2021}
}