Abstract
The Im ℍ-valued 1-form \(\omega = \mathrm{Im}\,(\bar{{q}}^{1}{\mathit{dq}}^{1} +\bar{ {q}}^{2}{\mathit{dq}}^{2})\) will occupy center stage for much of the remainder of our story. We begin by adopting its two most important properties ((5.9.10) and (5.9.11)) as the defining conditions for a connection on a principal bundle.
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Naber, G.L. (2011). Gauge Fields and Instantons. In: Topology, Geometry and Gauge fields. Texts in Applied Mathematics, vol 25. Springer, New York, NY. https://doi.org/10.1007/978-1-4419-7254-5_6
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