$\mathrm{G}_2$–instantons over twisted connected sums: An example
Thomas Walpuski
Abstract
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Thomas Walpuski
Abstract
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Using earlier work of S\'a Earp and the author [SEW13] we construct an irreducible unobstructed $G_2$-instanton on an $\mathrm{SO}(3)$-bundle over a twisted connected sum recently discovered by Crowley-Nordstr\"om [CN14].
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Using earlier work of S\'a Earp and the author [SEW13] we construct an irreducible unobstructed $G_2$-instanton on an $\mathrm{SO}(3)$-bundle over a twisted connected sum recently discovered by Crowley-Nordstr\"om [CN14].
Key concepts: Instanton, Construct (python library), Bundle, Physics, Mathematics, Theoretical physics, Mathematical physics, Combinatorics