Links and Pfaffian equation. (Entrelacements et équations de Pfaff.) (French) Zbl 0573.58022

Bennequin, Daniel

Astérisque 107/108, 87-161 (1983).

The text gives a proof for the existence of nonisomorphic contact structures on the 3-dimensional Euclidean space. Principal themes: contact topology in dimension 3, linking properties of curves and plane fields, geometry of intersections of a surface with the Reeb foliation. Digressions: theory of braids, and analytic curves in the complex plane.
For the entire collection see [Zbl 0516.00018].

MSC:

37C85	Dynamics induced by group actions other than \(\mathbb{Z}\) and \(\mathbb{R}\), and \(\mathbb{C}\)
57R30	Foliations in differential topology; geometric theory
53C15	General geometric structures on manifolds (almost complex, almost product structures, etc.)

Keywords:

contact structures; contact topology; linking properties of curves; Reeb foliation; theory of braids; analytic curves in the complex plane