29 citations · 264 across the 24 of their papers we have counts for
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math.DG2014★ 9 cited
Spin(7)-instantons, Cayley submanifolds, and Fueter sections
Thomas Walpuski
We prove an existence theorem for Spin(7)-instantons, which are highly concentrated near a Cayley submanifold; thus giving a partial converse to Tian's foundational compactness the…
math.DG2014★ 29 cited
A compactness theorem for the Seiberg-Witten equation with multiple spinors in dimension three
Andriy Haydys, Thomas Walpuski
We prove that a sequence of solutions of the Seiberg-Witten equation with multiple spinors in dimension three can degenerate only by converging (after rescaling) to a Fueter sectio…