A monopole invariant for families of contact structures

DOI10.1016/j.aim.2023.109483arXiv2104.14638OpenAlexW3159460955WikidataQ130005007 ScholiaQ130005007MaRDI QIDQ6201181

Juan Muñoz-Echániz

Publication date: 20 February 2024

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2104.14638

zbMATH Keywords

monopole Floer homologycontact structures on 3-manifolds

Mathematics Subject Classification ID

Symplectic and contact topology in high or arbitrary dimension (57R17) Floer homology (57R58) Symplectic geometry, contact geometry (53Dxx) Contact structures in 3 dimensions (57K33)

Cites Work

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• Tight contact structures on the Brieskorn spheres \(-\Sigma(2,3,6n-1)\) and contact invariants
• Embedded contact homology and Seiberg-Witten Floer cohomology. I.
• Embedded contact homology and Seiberg-Witten Floer cohomology. V.
• Naturality of the contact invariant in monopole Floer homology under strong symplectic cobordisms
• Contact homology and homotopy groups of the space of contact structures
• Ozsváth-Szabó invariants and tight contact 3-manifolds, III
• Spineurs, opérateurs de Dirac et variations de métriques. (Spinors, Dirac operators and variations of the metrics)
• Convexité en topologie de contact. (Convexity in contact topology)
• The homotopy type of the space of maps of a homology 3-sphere into the 2- sphere
• Monopoles and contact structures
• Seiberg-Witten monopoles on Seifert fibered spaces
• Links of rational singularities, L-spaces and LO fundamental groups
• Holomorphic disks and topological invariants for closed three-manifolds
• Holomorphic disks and genus bounds
• Contact geometry and complex surfaces
• The Seiberg-Witten invariants and symplectic forms
• Classification of tight contact structures on surgeries on the figure-eight knot
• HF=HM. I: Heegaard Floer homology and Seiberg-Witten Floer homology
• The fundamental group of the space of contact structures on the \(3\)-torus
• Legendrian knots and monopoles
• Heegaard Floer homology and contact structures
• Monopoles and lens space surgeries
• A Calculus for Plumbing Applied to the Topology of Complex Surface Singularities and Degenerating Complex Curves
• The diffeotopy group of S¹×S² via contact topology
• ON THE TOPOLOGY OF THE SPACE OF CONTACT STRUCTURES ON TORUS BUNDLES
• Equivalence of Heegaard Floer homology and embedded contact homology via open book decompositions
• On the contact mapping class group of Legendrian circle bundles
• An Introduction to Contact Topology
• An Infinite Dimensional Version of Sard's Theorem

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