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arXiv · 1507.07065

The total Thurston-Bennequin number of complete and complete bipartite Legendrian graphs

Danielle O'Donnol·Elena Pavelescu
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Abstract

We study the Thurston-Bennequin number of complete and complete bipartite Legendrian graphs. We define a new invariant called the total Thurston-Bennequin number of the graph. We show that this invariant is determined by the Thurston-Bennequin numbers of 3-cycles for complete graphs and by the Thurston-Bennequin number of 4-cycles for complete bipartite graphs. We discuss the consequences of these results for K_4, K_5 and K_{3,3}.

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Danielle O'Donnol, Elena Pavelescu. 2015-07-25. The total Thurston-Bennequin number of complete and complete bipartite Legendrian graphs. https://arxiv.org/abs/1507.07065

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