2005/09/16 by Tobias Ekholm · 3 citations
Computer Science · Mathematics · #Boundary (topology) #Flow (mathematics) #Geometric and Algebraic Topology #Homology (biology) #Homotopy and Cohomology in Algebraic Topology #Morse code #Morse theory #Projection (relational algebra) #Submanifold #Topological and Geometric Data Analysis #math.GT #math.SG #msc:53D40 #msc:57R17
paper · pdf · doi:10.2140/gt.2007.11.1083
published as Geom. Topol. 11 (2007) 1083-1224 · 118 pages, 21 figures
arxiv created 2005/09/16 · openalex publication_date 2007/05/30 · arxiv updated 2014/11/11 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
be a Legendrian submanifold of the 1-jet space of a Riemannian n-manifold M . A correspondence is established between rigid flow trees in M determined by L and boundary punctured rigid pseudo-holomorphic disks in T M , with boundary on the projection of L and asymptotic to the double points of this projection at punctures, provided n 2, or provided n > 2 and the front of L has only cusp edge singularities. This result, in particular, shows how to compute the Legendrian contact homology of L in terms of Morse theory.