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math.DG2023
New examples of Z/2 harmonic 1-forms and their deformations
Andriy Haydys, Rafe Mazzeo, Ryosuke Takahashi
We collect a number of elementary constructions of harmonic -forms, and of families of these objects. These examples show that the branching set of a harmonic…
math.DG2023
Collapsing of -Gravitational Instantons
Yu-Shen Lin, Ryosuke Takahashi
We showed that a sequence of ALH*-gravitational instantons from pairs consisting of a weak del Pezzo surface and a smooth anti-canonical divisor towards a large complex structure l…