Moduli spaces of contact instantons (Q266137)
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scientific article; zbMATH DE number 6567881
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Moduli spaces of contact instantons |
scientific article; zbMATH DE number 6567881 |
Statements
Moduli spaces of contact instantons (English)
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13 April 2016
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moduli space
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Kählerian manifold
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Sasakian manifold
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Calabi-Yau manifold
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contact instanton
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The moduli spaces of self-dual and anti-self-dual contact instantons on compact \(K\)-manifolds are constructed. This construction is an analogue of Yang-Mills instantons for contact metric 5-dimensional manifolds.NEWLINENEWLINENEWLINEIt is proved that if the contact manifold is Sasakian, then the moduli space of irreducible anti-self-dual contact instantons on this manifold carries a natural Kählerian structure. Furthermore, it is also proved that if the manifold has a transverse Calabi-Yau structure, then the moduli space carries a natural hyper-Kählerian structure.
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