hyperkahler

Kahler

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attachments/Pasted%20image%2020220213223243.png # hyperkahler

For orbifolds, a hyperkahler resolution ensures that Gromov-Witten invariants vanish.

The only compact hyper-Kähler four-manifold is the \(\mathrm{K}_{3}\) surface. See K3 surface.

Links to this page

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Gromov-Witten invariants in Archive/0202_Symplectic Seminar Summer 2021/2021-06-23, Archive/AWS2019/Typeset/Wickelgren/sections/4 Wickelgren, Giant Math Term Index, 2021-04-22, hyperkahler, orbifold
p-adic Hodge theory

- Tags: - #subjects/arithmetic-geometry #subjects/arithmetic-geometry/hodge-theory/p-adic - Refs: - https://math.stanford.edu/~conrad/papers/notes.pdf - Links: - Hodge-Tate decomposition - Hodge theory - kahler - etale cohomology - cyclotomic character
kahler identities

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Hodge diamonds

Tags: ? Refs: ? Links: kahler hard Lefschetz
2018 Talk Surface bundles, mapping class groups, moduli spaces, and cohomology

Note: the moduli space is a Kähler manifold, so you get the Weil-Peterson 2-form which is the [[Kahler class|Kähler class]] in \(H^2\).