"On the rotation class of knotted Legendrian tori in R<sup>5</sup>" by Scott Baldridge and Ben McCarty

Faculty Publications

Title

On the rotation class of knotted Legendrian tori in R⁵

Authors

Scott Baldridge, Louisiana State University
Ben McCarty, University of Memphis

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

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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