We gratefully acknowledge support from
the Simons Foundation and member institutions.
Full-text links:

Download:

Current browse context:

math.SG

Change to browse by:

References & Citations

Bookmark

(what is this?)
CiteULike logo BibSonomy logo Mendeley logo del.icio.us logo Digg logo Reddit logo

Mathematics > Symplectic Geometry

Title: Bourgeois' contact manifolds are tight

Abstract: We prove that Bourgeois' contact structures on $M \times \mathbb{T}^{2}$ determined by the supporting open books of a contact manifold $(M, \xi)$ are always tight. The proof is based on a contact homology computation leveraging holomorphic foliations and Kuranishi structures.
Comments: 33 pages. Comments welcome
Subjects: Symplectic Geometry (math.SG)
Cite as: arXiv:2404.16311 [math.SG]
  (or arXiv:2404.16311v1 [math.SG] for this version)

Submission history

From: Russell Avdek [view email]
[v1] Thu, 25 Apr 2024 03:36:53 GMT (53kb,D)

Link back to: arXiv, form interface, contact.