Automatic transversality in contact homology. I: Regularity

DOI10.1007/s12188-015-0112-3zbMath1328.53107arXiv1407.3993OpenAlexW1950422502MaRDI QIDQ892152

Jo Nelson

Publication date: 18 November 2015

Published in: Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1407.3993

zbMATH Keywords

Conley-Zehnder indexcylindrical contact homologysymplectic field theoryMorse-Bott contact forms

Mathematics Subject Classification ID

Global theory of symplectic and contact manifolds (53D35) Symplectic field theory; contact homology (53D42)

Related Items (3)

Genus zero global surfaces of section for Reeb flows and a result of Birkhoff ⋮ S1$S^1$‐equivariant contact homology for hypertight contact forms ⋮ Unknottedness of real Lagrangian tori in \(S^2 \times S^2\)

Uses Software

• VFC package

Cites Work

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• An algebraic approach to virtual fundamental cycles on moduli spaces of pseudo-holomorphic curves
• Reeb orbits and the minimal discrepancy of an isolated singularity
• Cylindrical contact homology for dynamically convex contact forms in three dimensions
• Relative frames on \(J\)-holomorphic curves
• Contact homology of orbit complements and implied existence
• Controlled constructions of Reeb fields and applications
• Contact homology and homotopy groups of the space of contact structures
• Sc-smoothness, retractions and new models for smooth spaces
• An exact sequence for contact- and symplectic homology
• Gluing pseudoholomorphic curves along branched covered cylinders. II.
• Pseudoholomorphic curves in symplectizations with applications to the Weinstein conjecture in dimension three
• Coherent orientations for periodic orbit problems in symplectic geometry
• The Maslov index for paths
• Compactness results in symplectic field theory
• Properties of pseudoholomorphic curves in symplectisations. I: Asymptotics
• The structure of branch points in minimal surfaces and in pseudoholomorphic curves
• Index theory for symplectic paths with applications
• Coherent orientations in symplectic field theory
• Cylindrical contact homology of subcritical Stein-fillable contact manifolds
• Properties of pseudo-holomorphic curves in symplectisations. II: Embedding controls and algebraic invariants
• Transversality in elliptic Morse theory for the symplectic action
• Reeb vector fields and open book decompositions
• Automatic transversality and orbifolds of punctured holomorphic curves in dimension four
• Contact homology of toroidal manifolds
• The Seiberg-Witten equations and the Weinstein conjecture
• Gluing pseudoholomorphic curves along branched covered cylinders. I
• A note on Reeb dynamics on the tight 3-sphere
• Symplectic homology, autonomous Hamiltonians, and Morse-Bott moduli spaces
• Integration theory on the zero sets of polyfold Fredholm sections
• THE GYSIN EXACT SEQUENCE FOR S¹-EQUIVARIANT SYMPLECTIC HOMOLOGY
• Lecture Notes on Embedded Contact Homology
• Contact homology of Brieskorn manifolds
• Relative asymptotic behavior of pseudoholomorphic half-cylinders
• A biased view of symplectic cohomology
• The unregularized gradient flow of the symplectic action
• A characterization of the tight 3-sphere II
• Graded lagrangian submanifolds
• The fundamental class of smooth Kuranishi atlases with trivial isotropy
• Fredholm theory and transversality for noncompact pseudoholomorphic mapsin symplectizations
• Finite energy cylinders of small area
• Corrigenda to: Introduction to Symplectic Topology
• Automatic transversality in contact homology II: filtrations and computations
• Applications of Polyfold Theory I: The Polyfolds of Gromov–Witten Theory
• Contact hypersurfaces in uniruled symplectic manifolds always separate
• Taubes’s proof of the Weinstein conjecture in dimension three

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