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math.AT2020★ 3 cited
Spin^h and further generalisations of spin
Michael Albanese, Aleksandar Milivojevic
The question of which manifolds are spin or spin^c has a simple and complete answer. In this paper we address the same question for spin^h manifolds, which are less studied but hav…
math.DG2020
The Yamabe invariants of Inoue surfaces, Kodaira surfaces, and their blowups
Michael Albanese
Shortly after the introduction of Seiberg-Witten theory, LeBrun showed that the sign of the Yamabe invariant of a compact Kähler surface is determined by its Kodaira dimension. In…