Some boundedness properties of solutions to the Vafa–Witten equations on closed 4-manifolds

DOI10.1093/QMATH/HAX015zbMath1415.53012arXiv1308.0862OpenAlexW2963627021MaRDI QIDQ4555470

Yuuji Tanaka

Publication date: 20 November 2018

Published in: The Quarterly Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1308.0862

zbMATH Keywords

structure groupVafa-Witten equations$L^2$-boundclosed oriented 4-manfoldgauge-theoretic equations

Mathematics Subject Classification ID

Special connections and metrics on vector bundles (Hermite-Einstein, Yang-Mills) (53C07)

Related Items (8)

A compactness theorem for stable flat \(SL(2, \mathbb{C})\) connections on 3-folds ⋮ On the singular sets of solutions to the Kapustin-Witten equations and the Vafa-Witten ones on compact Kähler surfaces ⋮ On orientations for gauge-theoretic moduli spaces ⋮ A PERTURBATION AND GENERIC SMOOTHNESS OF THE VAFA–WITTEN MODULI SPACES ON CLOSED SYMPLECTIC FOUR-MANIFOLDS ⋮ Transversality for the full rank part of Vafa-Witten moduli spaces ⋮ Geometry and physics of Higgs bundles. Abstracts from the workshop held May 12--18, 2019 ⋮ On a topology property for the moduli space of Kapustin-Witten equations ⋮ On the general part of the perturbed Vafa-Witten moduli spaces on 4-manifolds

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