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Corrigendum to “\(\mathrm{PSL}(2 ; \mathbb{C})\) connections on \(3\)-manifolds with \(L^2\) bounds on curvature”. (English) Zbl 1402.53020

From the text: The proof of Theorem 1.1 in the published version of [the author, ibid. 1, No. 2, 239–397 (2013; Zbl 1296.53051)] has an error that was discovered by Thomas Walpulski shortly after the publication of the article. As a result of this error, certain assertions in Theorem 1.1 from [Zbl 1296.53051] can not be said to be proved.

MSC:

53C05 Connections (general theory)
58J90 Applications of PDEs on manifolds
53C07 Special connections and metrics on vector bundles (Hermite-Einstein, Yang-Mills)
53C21 Methods of global Riemannian geometry, including PDE methods; curvature restrictions

Citations:

Zbl 1296.53051
Full Text: DOI