Legendrian contact homology in the boundary of a subcritical weinstein 4-Manifold

Journal Article (Journal Article)

We give a combinatorial description of the Legendrian contact homology algebra associated to a Legendrian link in S1 × S2 or any connected sum #k(S1 ×S2), viewed as the contact boundary of the Weinstein manifold obtained by attaching 1-handles to the 4-ball. In view of the surgery formula for symplectic homology [5], this gives a combinatorial description of the symplectic homology of any 4-dimensional Weinstein manifold (and of the linearized contact homology of its boundary). We also study examples and discuss the invariance of the Legendrian homology algebra under deformations, from both the combinatorial and the analytical perspectives.

Full Text

Duke Authors

Cited Authors

  • Ekholm, T; Ng, L

Published Date

  • September 1, 2015

Published In

Volume / Issue

  • 101 / 1

Start / End Page

  • 67 - 157

Electronic International Standard Serial Number (EISSN)

  • 1945-743X

International Standard Serial Number (ISSN)

  • 0022-040X

Digital Object Identifier (DOI)

  • 10.4310/jdg/1433975484

Citation Source

  • Scopus