SEIBERG–WITTEN INVARIANTS OF 4-MANIFOLDS WITH FREE CIRCLE ACTIONS

DOI10.1142/S021919970100038XzbMath0987.57013arXivmath/9911051OpenAlexW2063598423MaRDI QIDQ2764511

Scott Baldridge

Publication date: 19 June 2002

Published in: Communications in Contemporary Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/9911051

zbMATH Keywords

four-manifolds

Mathematics Subject Classification ID

Related Items (12)

Seiberg-Witten invariants, orbifolds, and circle actions ⋮ The topology of symplectic circle bundles ⋮ A vanishing theorem for twisted Alexander polynomials with applications to symplectic 4-manifolds ⋮ On the orders of periodic diffeomorphisms of 4-manifolds ⋮ Minimal genus in 4-manifolds with a free circle action ⋮ \(G\)-monopole classes, Ricci flow, and Yamabe invariants of 4-manifolds ⋮ Lefschetz fibrations, complex structures and Seifert fibrations on \(S^1\times M^3\) ⋮ Symplectic forms invariant under free circle actions on 4-manifolds ⋮ \(G\)-monopole invariants on some connected sums of 4-manifolds ⋮ Minimal genus in circle bundles over 3-manifolds ⋮ New symplectic 4-manifolds with \(b_+=1\) ⋮ Existence of symplectic structures on torus bundles over surfaces

Cites Work

• Compact symplectic manifolds with free circle actions, and Massey products
• Knots, links, and 4-manifolds
• A combinatorial formulation for the Seiberg-Witten invariants of 3-manifolds
• Obstruction bundles, semiregularity, and Seiberg-Witten invariants
• Torsion invariants of Spin\(^c\)-structures on 3-manifolds
• Product formulas along \(T^3\) for Seiberg-Witten invariants
• Seiberg-Witten monopoles on Seifert fibered spaces
• Monopoles and four-manifolds
• The genus of embedded surfaces in the projective plane
• The Seiberg-Witten invariants and symplectic forms
• Compact Parallelizable Four Dimensional Symplectic and Complex Manifolds
• The Seiberg-Witten equations and 4-manifold topology
• \(\underline{SW}\)=Milnor torsion

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