Cohomologies and elliptic operators on symplectic manifolds (Q2900295)
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scientific article; zbMATH DE number 6059315
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Cohomologies and elliptic operators on symplectic manifolds |
scientific article; zbMATH DE number 6059315 |
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21 July 2012
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Symplectic manifolds
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cohomology
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Hodge theory
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Cohomologies and elliptic operators on symplectic manifolds (English)
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In this very interesting paper, the author surveys some joint work with S.-T. Yau, in which they construct new cohomologies of differential forms and natural elliptic operators on symplectic manifolds. This is done through a pair of first-order differential operators, which are the analogues of the Dolbeault operators in complex geometry. The symplectic cohomologies so obtained are finite-dimensional, and give new symplectic invariants, especially for non-Kähler symplectic manifolds.NEWLINENEWLINEFor the entire collection see [Zbl 1235.00045].
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