par Bourgeois, Frédéric ;Oancea, Alexandru
Référence Inventiones Mathematicae, 175, 3, page (611-680)
Publication Publié, 2009
Article révisé par les pairs
Résumé : A symplectic manifold W with contact type boundary M=?W induces a linearization of the contact homology of M with corresponding linearized contact homology HC(M). We establish a Gysin-type exact sequence in which the symplectic homology SH(W) of W maps to HC(M), which in turn maps to HC(M), by a map of degree -2, which then maps to SH(W). Furthermore, we give a description of the degree -2 map in terms of rational holomorphic curves with constrained asymptotic markers, in the symplectization of M.