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Four-manifolds, curvature bounds, and convex geometry

Research output: Chapter in Book/Report/Conference proceedingChapterpeer-review

8 Scopus citations

Abstract

Seiberg—Witten theory leads to a remarkable family of curvature estimates governing the Riemannian geometry of compact 4-manifolds. This chapter describes a more transparent and user-friendly repackaging of these estimates, formulated in terms of the convex hull of the set of monopole classes. New results are then obtained concerning the boundary cases of the reformulated curvature estimates.

Original languageEnglish
Title of host publicationProgress in Mathematics
PublisherSpringer Basel
Pages119-152
Number of pages34
DOIs
StatePublished - 2009

Publication series

NameProgress in Mathematics
Volume271

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