A bordered Legendrian contact algebra (Q462505)

Adapted from the author's abstract: In 2011 S. Sivek proved a ``van Kampen'' decomposition theorem for the combinatorial Legendrian contact algebra (also known as the Chekanov-Eliashberg algebra) of knots in the standard contact \(\mathbb R^3\). The authors prove an analogous result for the holomorphic curve version of the Legendrian contact algebra of certain Legendrians submanifolds in the standard contact \(J^1(M)\). This includes all 1- and 2-dimensional, as well as some higher-dimensional Legendrian submanifolds. Various applications including a Mayer-Vietoris sequence for linearized contact homology, are considered.