Curvature, connected sums, and Seiberg-Witten theory

Masashi Ishida; Claude LeBrun

doi:10.4310/CAG.2003.v11.n5.a1

Curvature, connected sums, and Seiberg-Witten theory

Masashi Ishida
, Claude LeBrun

Mathematics

Sophia University

Research output: Contribution to journal › Article › peer-review

27 Scopus citations

Abstract

We consider several differential-topological invariants of compact 4-manifolds which directly arise from Riemannian variational problems. Using recent results of Bauer and Furuta [5, 4], we compute these invariants in many cases that were previously intractable. In particular, we are now able to calculate the Yamabe invariant for many connected sums of complex surfaces.

Original language	English
Pages (from-to)	809-836
Number of pages	28
Journal	Communications in Analysis and Geometry
Volume	11
Issue number	5
DOIs	https://doi.org/10.4310/CAG.2003.v11.n5.a1
State	Published - Dec 2003

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title = "Curvature, connected sums, and Seiberg-Witten theory",

abstract = "We consider several differential-topological invariants of compact 4-manifolds which directly arise from Riemannian variational problems. Using recent results of Bauer and Furuta [5, 4], we compute these invariants in many cases that were previously intractable. In particular, we are now able to calculate the Yamabe invariant for many connected sums of complex surfaces.",

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AU - LeBrun, Claude

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AB - We consider several differential-topological invariants of compact 4-manifolds which directly arise from Riemannian variational problems. Using recent results of Bauer and Furuta [5, 4], we compute these invariants in many cases that were previously intractable. In particular, we are now able to calculate the Yamabe invariant for many connected sums of complex surfaces.

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DO - 10.4310/CAG.2003.v11.n5.a1

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JO - Communications in Analysis and Geometry

JF - Communications in Analysis and Geometry

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Curvature, connected sums, and Seiberg-Witten theory

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