Legendrian singular links and singular connected sums

Byung Hee An; Youngjin Bae; Seonhwa Kim

doi:10.4310/JSG.2018.V16.N4.A1

Legendrian singular links and singular connected sums

Byung Hee An, Youngjin Bae, Seonhwa Kim

Department of Mathematics Education

Institute for Basic Science

Research output: Contribution to journal › Article › peer-review

4 Scopus citations

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.

Original language	English
Pages (from-to)	885-930
Number of pages	46
Journal	Journal of Symplectic Geometry
Volume	16
Issue number	4
DOIs	https://doi.org/10.4310/JSG.2018.V16.N4.A1
State	Published - 2018

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10.4310/JSG.2018.V16.N4.A1

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title = "Legendrian singular links and singular connected sums",

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.",

author = "An, {Byung Hee} and Youngjin Bae and Seonhwa Kim",

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AU - Bae, Youngjin

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AB - 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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U2 - 10.4310/JSG.2018.V16.N4.A1

DO - 10.4310/JSG.2018.V16.N4.A1

M3 - Article

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VL - 16

SP - 885

EP - 930

JO - Journal of Symplectic Geometry

JF - Journal of Symplectic Geometry

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ER -

Legendrian singular links and singular connected sums

Abstract

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