Conformally symplectic topology from a dynamical viewpoint

2026/07/03 by Julian Chaidez · 1 voice · 1 citation
Mathematics · #math.SG

paper · pdf

Abstract

This survey article discusses the emerging interaction between conformally symplectic topology and dynamics, with a focus on recent developments in convex hypersurface theory.

Citations

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• Robustly non-convex hypersurfaces in contact manifolds
• An algebraic generalization of Giroux's criterion
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• Periodic Floer homology and the smooth closing lemma for area-preserving surface diffeomorphisms
• Morse-Smale characteristic foliations and convexity in contact manifolds
• Convex hypersurface theory in contact topology
• Getting a handle on contact manifolds
• On the Hofer-Zehnder conjecture
• Feral Curves and Minimal Sets
• Bypass attachments in higher-dimensional contact topology
• What is ... a blender?
• Existence and classification of overtwisted contact structures in all dimensions
• Loose Legendrian embeddings in high dimensional contact manifolds
• On the violation of Thurston-Bennequin inequality for a certain non-convex hypersurface
• First steps in stable Hamiltonian topology
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• The Weinstein conjecture for stable Hamiltonian structures
• Finitude homotopique et isotopique des structures de contact tendues
• On the Weinstein conjecture in higher dimensions
• The Seiberg–Witten equations and the Weinstein conjecture
• The Conley Conjecture
• Géométrie de contact: de la dimension trois vers les dimensions supérieures
• On the coarse classification of tight contact structures
• Tight contact structures with no symplectic fillings
• On the classification of tight contact structures I
• On the non-existence of tight contact structures
• The unregularized gradient flow of the symplectic action
• Morse theory for Lagrangian intersections

Cited by

• Convex hypersurfaces and robust heterodimensional dynamics

Discussions

• Julian Chaidez: Conformally symplectic topology from a dynamical viewpoint https://arxiv.org/abs/2607.03019 https://arxiv.org/pdf/2607.03019 https://arxiv.org/html/2607.03019 [bsky, 0 points, 0 comments]

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