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Lefschetz fibrations, complex structures and Seifert fibrations on $S^{1} \times M^{3}$ .

Etgü, Tolga (2001)

Algebraic & Geometric Topology

Lefschetz fibrations on compact Stein surfaces.

Akbulut, Selman, Ozbagci, Burak (2001)

Geometry & Topology

Lefschetz pencils and divisors in moduli space.

Smith, Ivan (2001)

Geometry & Topology

Legendrian and transverse twist knots

John B. Etnyre, Lenhard L. Ng, Vera Vértesi (2013)

Journal of the European Mathematical Society

In 1997, Chekanov gave the first example of a Legendrian nonsimple knot type: the $m (5_{2})$ knot. Epstein, Fuchs, and Meyer extended his result by showing that there are at least $n$ different Legendrian representatives with maximal Thurston-Bennequin number of the twist knot $K_{- 2 n}$ with crossing number $2 n + 1$ . In this paper we give a complete classification of Legendrian and transverse representatives of twist knots. In particular, we show that $K_{- 2 n}$ has exactly $⌈\frac{n^{2}}{2}⌉$ Legendrian representatives with maximal Thurston–Bennequin...

Legendrian graphs and quasipositive diagrams

Sebastian Baader, Masaharu Ishikawa (2009)

Annales de la faculté des sciences de Toulouse Mathématiques

In this paper we clarify the relationship between ribbon surfaces of Legendrian graphs and quasipositive diagrams by using certain fence diagrams. As an application, we give an alternative proof of a theorem concerning a relationship between quasipositive fiber surfaces and contact structures on $S^{3}$ . We also answer a question of L. Rudolph concerning moves of quasipositive diagrams.

Legendrian knots and monopoles.

Mrowka, Tomasz, Rollin, Yann (2006)