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Questions about Kähler manifolds and Kähler metrics.

2 votes
Accepted

Boundary Maslov index of holomorphic disks in Calabi-Yau manifolds

I assume you're asking about embedded or at least immersed discs, in order to make sense of the normal bundle. If so, let's fix an immersion $\iota\colon\Sigma\to M$ and observe that the pullback bund …
Jonny Evans's user avatar
  • 7,005
5 votes
Accepted

Definition of Canonically polarized manifold?

Canonically polarised means that the polarising line bundle L is a power of the canonical bundle (top exterior power of the cotangent bundle). In particular it only makes sense if the canonical bundle …
Jonny Evans's user avatar
  • 7,005