Legendrian contact homology in the boundary of a subcritical Weinstein 4-manifold
2015 (English)In: Journal of differential geometry, ISSN 0022-040X, E-ISSN 1945-743X, Vol. 101, no 1, 67-157 p.Article in journal (Refereed) Published
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, 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
Place, publisher, year, edition, pages
Boston, 2015. Vol. 101, no 1, 67-157 p.
IdentifiersURN: urn:nbn:se:uu:diva-255396ISI: 000357759200003OAI: oai:DiVA.org:uu-255396DiVA: diva2:822010
FunderKnut and Alice Wallenberg Foundation
Funding: NSF DMS-0706777, DMS-08463462015-06-162015-06-162015-08-21Bibliographically approved