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arxiv: 1612.01009 · v2 · submitted 2016-12-03 · 🧮 math.SG

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Lectures on Symplectic Field Theory

Chris Wendl
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classification 🧮 math.SG
keywords symplectictheorycontactfieldanalyticalapplicationsbookcontactomorphism
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This is the preliminary manuscript of a book on symplectic field theory based on a lecture course for PhD students given in 2015-16. It covers the essentials of the analytical theory of punctured pseudoholomorphic curves, taking the opportunity to fill in gaps in the existing literature where necessary, and then gives detailed explanations of a few of the standard applications in contact topology such as distinguishing contact structures up to contactomorphism and proving symplectic non-fillability.

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  1. Elementary spectral invariants and three-dimensional Reeb dynamics

    math.SG 2026-05 unverdicted novelty 3.0

    Elementary spectral invariants simplify embedded contact homology spectral invariants for contact three-manifolds and can be used to prove some results on periodic orbits of Reeb vector fields, with the remaining resu...