Yamabe Invariants and the ${\mathrm{Pin}}^{-}(2)$-monopole Equations

Masashi Ishida, Shinichiroh Matsuo, Nobuhiro Nakamura

We compute the Yamabe invariants for a new infinite class of closed $4$-dimensional manifolds by using a "twisted" version of the Seiberg-Witten equations, the ${\mathrm{Pin}}^{-}(2)$-…