Deformations of nearly Kähler instantons
B Charbonneau, D Harland - Communications in Mathematical Physics, 2016 - Springer
We formulate the deformation theory for instantons on nearly Kähler six-manifolds using
spinors and Dirac operators. Using this framework we identify the space of deformations of …
spinors and Dirac operators. Using this framework we identify the space of deformations of …
Morse theory for the Yang-Mills energy function near flat connections
P Feehan - arXiv preprint arXiv:1906.03954, 2019 - arxiv.org
A result (Corollary 4.3) in an article by Uhlenbeck (1985) asserts that the $ W^{1, p} $-
distance between the gauge-equivalence class of a connection $ A $ and the moduli …
distance between the gauge-equivalence class of a connection $ A $ and the moduli …
Yang-Mills flow on special-holonomy manifolds
G Oliveira, A Waldron - Advances in Mathematics, 2021 - Elsevier
Abstract This paper develops Yang-Mills flow on Riemannian manifolds with special
holonomy. By analogy with the second-named author's thesis, we find that a supremum …
holonomy. By analogy with the second-named author's thesis, we find that a supremum …
On the moduli space of Donaldson-Thomas instantons
Y Tanaka - arXiv preprint arXiv:0805.2192, 2008 - arxiv.org
In alignment with a programme by Donaldson and Thomas [DT], Thomas [Th] constructed a
deformation invariant for smooth projective Calabi-Yau threefolds, which is now called the …
deformation invariant for smooth projective Calabi-Yau threefolds, which is now called the …
The DT-instanton equation on almost Hermitian 6-manifolds
G Ball, G Oliveira - Communications in Mathematical Physics, 2021 - Springer
This article investigates a set of partial differential equations, the DT-instanton equations,
whose solutions can be regarded as a generalization of the notion of Hermitian–Yang–Mills …
whose solutions can be regarded as a generalization of the notion of Hermitian–Yang–Mills …