JournalscmhVol. 88, No. 4pp. 899–952

A Floer–Gysin exact sequence for Lagrangian submanifolds

  • Paul Biran

    ETH Zürich, Switzerland
  • Michael Khanevsky

    University of Chicago, USA
A Floer–Gysin exact sequence for Lagrangian submanifolds cover
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Abstract

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. 899–952

DOI 10.4171/CMH/307