Yamabe invariants and the Pin- (2)-monopole equations

Masashi Ishida; Shinichiroh Matsuo; Nobuhiro Nakamura

doi:10.4310/MRL.2016.v23.n4.a4

Yamabe invariants and the Pin^- (2)-monopole equations

Masashi Ishida, Shinichiroh Matsuo, Nobuhiro Nakamura

SCI - Mathematics

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

1 Citation (Scopus)

Abstract

We compute the Yamabe invariants for a new infinite class of closed 4-dimensional manifolds by using a "twisted" version of the Seiberg-Witten equations, the Pin^- (2)-monopole equations. The same technique also provides a new obstruction to the existence of Einstein metrics or long-time solutions of the normalised Ricci flow with uniformly bounded scalar curvature.

Original language	English
Pages (from-to)	1049-1069
Number of pages	21
Journal	Mathematical Research Letters
Volume	23
Issue number	4
DOIs	https://doi.org/10.4310/MRL.2016.v23.n4.a4
Publication status	Published - 2016

ASJC Scopus subject areas

Mathematics(all)

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10.4310/MRL.2016.v23.n4.a4

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AB - We compute the Yamabe invariants for a new infinite class of closed 4-dimensional manifolds by using a "twisted" version of the Seiberg-Witten equations, the Pin- (2)-monopole equations. The same technique also provides a new obstruction to the existence of Einstein metrics or long-time solutions of the normalised Ricci flow with uniformly bounded scalar curvature.

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JO - Mathematical Research Letters

JF - Mathematical Research Letters

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Yamabe invariants and the Pin^- (2)-monopole equations

Abstract

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