Perelman's \(\lambda\)-functional and Seiberg-Witten equations
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Publication:2480267
DOI10.1007/s11464-007-0014-5zbMath1143.53063arXivmath/0608439OpenAlexW1919945661WikidataQ125722796 ScholiaQ125722796MaRDI QIDQ2480267
Publication date: 31 March 2008
Published in: Frontiers of Mathematics in China (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/math/0608439
Chern classscalar curvatureKähler-Einstein metricSeiberg-Witten equationslowest eigenvalueRicci-flowSeiberg-Witten monopolecurvature restrictionsPerelman's \(\lambda\)-functional
Relations of PDEs with special manifold structures (Riemannian, Finsler, etc.) (58J60) Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21)
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Cites Work
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- Perelman's invariant, Ricci flow, and the Yamabe invariants of smooth manifolds
- Notes on Perelman's papers
- Einstein metrics and complex structures
- On the structure of manifolds with positive scalar curvature
- The classification of simply connected manifolds of positive scalar curvature
- The Weyl functional, de Rham cohomology, and Kähler-Einstein metrics
- Minimal genus in \(S^1\times M^3\)
- Weyl curvature, Einstein metrics, and Seiberg-Witten theory
- Small eigenvalues of the conformal Laplacian
- A stable cohomotopy refinement of Seiberg-Witten invariants. I
- A stable cohomotopy refinement of Seiberg-Witten invariants. II
- Three-manifolds with positive Ricci curvature
- More constraints on symplectic forms from Seiberg-Witten invariants
- Curvature, connected sums, and Seiberg-Witten theory
- Surgery and the spectrum of the Dirac operator
