par He, Jian
Référence International journal of mathematics, 24, 2, 1350004
Publication Publié, 2013-02
Article révisé par les pairs
Résumé : We determine the contact homology algebra of a subcritical Stein-fillable contact manifold whose first Chern class vanishes. We also compute the genus-0 one point correlators and gravitational descendants of compactly supported closed forms on their subcritical Stein fillings. This is a step towards determining the full potential function of the filling as defined in [Y. Eliashberg, A. Givental and H. Hofer. Introduction to symplectic field theory, Geom. Funct. Anal. Special Volume (2000) 560-673]. These invariants also give a canonical presentation of the cylindrical contact homology. With respect to this presentation, we determine the degree-2 differential in the Bourgeois-Oancea exact sequence of [F. Bourgeois and A. Oancea. An exact sequence for contact and symplectic homology, Invent. Math. 175(3) (2009) 611-680]. As a further application, we proved that if a Kähler manifold M2n admits a subcritical polarization and c1 vanishes in the subcritical complement, then M is uniruled. © 2013 World Scientific Publishing Company.