We establish a Floer-theoretical analog of the classical Gysin long exact sequence from algebraic topology for circle bundles. We study algebraic and functorial properties of this sequence and derive applications to computations of Lagrangian Floer homologies as well as to questions on the topology of Lagrangian submanifolds.
Cite this article
Paul Biran, Michael Khanevsky, A Floer–Gysin exact sequence for Lagrangian submanifolds. Comment. Math. Helv. 88 (2013), no. 4, pp. 899–952DOI 10.4171/CMH/307