2014/05/09 by Scott Baldridge, Ben McCarty, Baldridge, Scott +1
Computer Science · Mathematics · #57M25 #57M27 #Advanced Combinatorial Mathematics #FOS: Mathematics #Geometric Topology (math.GT) #Geometric and Algebraic Topology #Topological and Geometric Data Analysis
paper · pdf · doi:10.48550/arxiv.1405.2358
openalex publication_date 2014/05/09 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
In this paper we show how to combinatorically 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.