Document Type
Article
Publication Date
8-15-2016
Abstract
In this paper we show how to combinatorially compute the rotation class of a large family of embedded Legendrian tori in R5 with the standard contact form. In particular, we give a formula to compute the Maslov index for any loop on the torus and compute the Maslov number of the Legendrian torus. These formulas are a necessary component in computing contact homology. Our methods use a new way to represent knotted Legendrian tori called Lagrangian hypercube diagrams.
Publication Source (Journal or Book title)
Topology and its Applications
First Page
91
Last Page
114
Recommended Citation
Baldridge, S., & McCarty, B. (2016). On the rotation class of knotted Legendrian tori in R5. Topology and its Applications, 209, 91-114. https://doi.org/10.1016/j.topol.2016.05.014
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