Given a Riemann surface, $\Sigma$, and finite interval interval, $I\in [0,\pi]$, the manifold $\Sigma \times S^1 \times I$ is four dimensional. Can we place hyperkaehler structure on this manifold, which has boundaries?
2026-03-27 01:04:18.1774573458
Is it possible for a manifold of the form $\Sigma \times S^1\times I$ to be hyperkahler?
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