Lagrangian matching invariants for fibred four-manifolds: I

2006/06/30 by Tim Perutz · 4 citations
Mathematics · #Algebraic Geometry and Number Theory #Boundary (topology) #Fibered knot #Fibration #Floer homology #Geometric and Algebraic Topology #Gromov–Witten invariant #Holomorphic function #Homology (biology) #Homotopy #Homotopy and Cohomology in Algebraic Topology #Lagrangian #Mathematical analysis #Mathematics #Moduli space #Pure mathematics #Symplectic geometry #Symplectic manifold #Symplectic representation #math.GT #math.SG #msc:53D40 #msc:57R15 #msc:57R57

paper · pdf · doi:10.2140/gt.2007.11.759

published as Geom. Topol. 11 (2007) 759-828 · 72 pages, 4 figures. v.2 - numerous small corrections and clarifications

openalex publication_date 2007/05/10 · arxiv created 2007/12/19 · arxiv updated 2014/11/11 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

Lagrangian matching invariants for fibred four-manifolds: I

Citations

• Holomorphic disks and topological invariants for closed three-manifolds

Cited by

• Lagrangian matching invariants for fibred four-manifolds: II
• Constructing Lefschetz-type fibrations on four-manifolds
• Fiber-connected, indefinite Morse 2-functions on connected n -manifolds
• Elimination of cusps in dimension 4 and its applications