Legendrian theta-graphs

Danielle O'Donnol; Elena Pavelescu

doi:10.2140/pjm.2014.270.191

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arXiv · 1303.2128

Legendrian theta-graphs

Danielle O'Donnol·Elena Pavelescu

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Abstract

In this article we give necessary and sufficient conditions for two triples of integers to be realized as the Thurston-Bennequin number and the rotation number of a Legendrian theta-graph with all cycles unknotted. We show that these invariants are not enough to determine the Legendrian class of a topologically planar theta-graph. We define the transverse push-off of a Legendrian graph and we determine its self linking number for Legendrian theta-graphs. In the case of topologically planar theta-graphs, we prove that the topological type of the transverse push-off is that of a pretzel link.

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BibTeX RIS

Danielle O'Donnol, Elena Pavelescu. 2013-03-08. Legendrian theta-graphs. https://doi.org/10.2140/pjm.2014.270.191

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