Base Manifolds for Lagrangian Fibrations on Hyperkähler Manifolds

2013/03/31 by Daniel Greb, Christian Lehn · 10 citations
Mathematics · #3-manifold #Base (topology) #Closed manifold #Complex manifold #Fibration #Geometric Analysis and Curvature Flows #Geometry and complex manifolds #Homotopy and Cohomology in Algebraic Topology #Lagrangian #Manifold (fluid mechanics) #Space (punctuation) #math.AG #msc:14D06 #msc:53C26

paper · pdf · doi:10.1093/imrn/rnt133

published in International Mathematics Research Notices 2014(19), 5483-5487 (Oxford University Press) · 4 pages; v2: minor changes, final version, to appear in IMRN

arxiv created 2013/06/05 · openalex publication_date 2013/07/03 · arxiv updated 2015/04/17 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

Abstract

Let f : X→B be a fibration from a hyperkähler manifold to a complex space B. Assuming that B is smooth, we show that ⁠. This generalizes a theorem of Hwang to the Kähler case.

Citations

• Calabi-Yau Manifolds and Related Geometries

Cited by

• The monodromy of compact Lagrangian fibrations
• On polarization types of Lagrangian fibrations

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