Collapsing and monopole classes of 3-manifolds

DOI10.1016/j.geomphys.2006.04.006zbMath1117.57031OpenAlexW2056873115MaRDI QIDQ864252

Chanyoung Sung

Publication date: 13 February 2007

Published in: Journal of Geometry and Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.geomphys.2006.04.006

zbMATH Keywords

Yamabe invariantSeiberg-Wittenmonopole class

Mathematics Subject Classification ID

Applications of global analysis to structures on manifolds (57R57) General geometric structures on low-dimensional manifolds (57M50) Global differential geometry (53C99)

Related Items

Connected sums with \(\mathbb{H} P^n\) or \(CaP^{2}\) and the Yamabe invariant ⋮ \(G\)-monopole classes, Ricci flow, and Yamabe invariants of 4-manifolds ⋮ Surgery, Yamabe invariant, and Seiberg-Witten theory

Cites Work

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• Volume et entropie minimale des espaces localement symétriques. (Minimal volume and entropy of locally symmetric spaces)
• Collapsing Riemannian manifolds while keeping their curvature bounded. II
• Collapsing Riemannian manifolds while keeping their curvature bounded. I
• The classification of simply connected manifolds of positive scalar curvature
• Yamabe constants and the perturbed Seiberg-Witten equations
• Minimal entropy and collapsing with curvature bounded from below
• Seiberg-Witten invariants for \(3\)-manifolds in the case \(b_1=0\) or \(1\)
• Surgery, curvature, and minimal volume
• A new construction of symplectic manifolds
• Four-manifolds without Einstein metrics
• Compact Parallelizable Four Dimensional Symplectic and Complex Manifolds
• Shorter Notes: Some Simple Examples of Symplectic Manifolds
• Algebraic surfaces and Seiberg-Witten invariants
• Ricci curvature, minimal volumes, and Seiberg-Witten theory