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arXiv · 1503.00818

Legendrian singular links and singular connected sums

Byung Hee An·Youngjin Bae·Seonhwa Kim
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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.

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Byung Hee An, Youngjin Bae, Seonhwa Kim. 2017-03-13. Legendrian singular links and singular connected sums. https://doi.org/10.4310/jsg.2018.v16.n4.a1

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