articleAnnals of MathematicsMay 1, 2004BRONZE OA

Holomorphic disks and topological invariants for closed three-manifolds

POPeter OzsváthZSZoltán Szabó

Columbia University · Princeton University

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Abstract

The aim of this article is to introduce certain topological invariants for closed, oriented three-manifolds Y , equipped with a Spin c structure. Given a Heegaard splitting of Y = U 0 U 1 , these theories are variants of the Lagrangian Floer homology for the g-fold symmetric product of relative to certain totally real subspaces associated to U 0 and U 1 .

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Topics & keywords

Topics
Keywords
  • Mathematics
  • Floer homology
  • Holomorphic function
  • Linear subspace
  • Pure mathematics
  • Lagrangian
  • Homology (biology)
  • Gromov–Witten invariant
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