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  • Ekholm, Tobias, 1970-, et al. (author)
  • Legendrian contact homology in the boundary of a subcritical Weinstein 4-manifold
  • 2015
  • In: Journal of differential geometry. - Boston. - 0022-040X .- 1945-743X. ; 101:1, s. 67-157
  • Journal article (peer-reviewed)abstract
    • 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
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Type of publication
journal article (1)
Type of content
peer-reviewed (1)
Author/Editor
Ekholm, Tobias, 1970 ... (1)
Ng, Lenhard (1)
University
Uppsala University (1)
Language
English (1)
Research subject (UKÄ/SCB)
Natural sciences (1)
Year
2015 (1)

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