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

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