Journal of Symplectic Geometry

Volume 16 (2018)

Number 4

Legendrian singular links and singular connected sums

Pages: 885 – 930

DOI: https://dx.doi.org/10.4310/JSG.2018.v16.n4.a1

Authors

Byung Hee An (Center for Geometry and Physics, Institute for Basic Science (IBS), Pohang, South Korea)

Youngjin Bae (Center for Geometry and Physics, Institute for Basic Science (IBS), Pohang, South Korea)

Seonhwa Kim (Center for Geometry and Physics, Institute for Basic Science (IBS), Pohang, South Korea)

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.

Full Text (PDF format)

Received 3 March 2015

Accepted 9 January 2018

Published 11 February 2019