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arxiv: 1011.1690 · v2 · pith:NPUYZ5R7new · submitted 2010-11-07 · 🧮 math.SG · math.AP· math.DG· math.GT

Lectures on Holomorphic Curves in Symplectic and Contact Geometry

classification 🧮 math.SG math.APmath.DGmath.GT
keywords curvesholomorphicnotesaddedavailableberlinchapterscontact
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This is a set of expository lecture notes created originally for a graduate course on holomorphic curves taught at ETH Zurich and the Humboldt University Berlin in 2009/2010. The notes are still incomplete, but due to recent requests from readers, I've decided to make a presentable half-finished version available here. Further chapters will be added in future updates.

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  1. On symplectic fillings of spinal open book decompositions II: Holomorphic curves and classification

    math.SG 2020-10 unverdicted novelty 7.0

    Contact 3-manifolds admitting uniform spinal open books with planar pages have their weak, strong, and exact symplectic and Stein fillings classified by diffeomorphism classes of Lefschetz fibrations.