Seiberg-Witten invariants and pseudo-holomorphic subvarieties for self-dual, harmonic 2-forms

DOI10.2140/gt.1999.3.167zbMath1027.53111arXivmath/9907199OpenAlexW3103064583MaRDI QIDQ1296213

Clifford Henry Taubes

Publication date: 18 July 1999

Published in: Geometry \& Topology (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/9907199

zbMATH Keywords

symplectic geometrySeiberg-Witten invariantcurrentpseudo-holomorphic curvesfour-manifold invariants

Mathematics Subject Classification ID

Applications of global analysis to structures on manifolds (57R57) Global theory of symplectic and contact manifolds (53D35) Pseudoholomorphic curves (32Q65)

Related Items

Transversality theorems for harmonic forms, Singular Lefschetz pencils, Closed forms transverse to singular foliations, Taming the pseudoholomorphic beasts in \(\mathbb{R} \times (S^1 \times S^2)\), Lagrangian matching invariants for fibred four-manifolds. II., Topology of surface diagrams of smooth 4-manifolds, A compendium of pseudoholomorphic beasts in \({\mathbf R}\times (S^1\times S^2)\), The structure of pseudo-holomorphic subvarieties for a degenerate almost complex structure and symplectic form on \(S^1\times B^3\), \(G_2\) holonomy, Taubes' construction of Seiberg-Witten invariants and superconducting vortices, Poisson structures of near-symplectic manifolds and their cohomology

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Pseudo holomorphic curves in symplectic manifolds
• Pseudo-holomorphic maps and bubble trees
• The structure of pseudo-holomorphic subvarieties for a degenerate almost complex structure and symplectic form on \(S^1\times B^3\)
• Circle-valued Morse theory, Reidemeister torsion, and Seiberg-Witten invariants of 3-manifolds
• A combinatorial formulation for the Seiberg-Witten invariants of 3-manifolds
• Symplectic submanifolds and almost-complex geometry
• Yamabe constants and the perturbed Seiberg-Witten equations
• Circle-valued Morse theory and Reidemeister torsion
• Monopoles and four-manifolds
• The Seiberg-Witten and Gromov invariants
• Self-duality in four-dimensional Riemannian geometry
• Gromov's Compactness Theorem for Pseudo Holomorphic Curves
• SW ⇒ Gr: From the Seiberg-Witten equations to pseudo-holomorphic curves