Intersection numbers on Grassmannians, and on the space of holomorphic maps from \(\mathbb{C} P^1\) into \(G_r(\mathbb{C}^n)\) (Q5937205)
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scientific article; zbMATH DE number 1618673
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Intersection numbers on Grassmannians, and on the space of holomorphic maps from \(\mathbb{C} P^1\) into \(G_r(\mathbb{C}^n)\) |
scientific article; zbMATH DE number 1618673 |
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Intersection numbers on Grassmannians, and on the space of holomorphic maps from \(\mathbb{C} P^1\) into \(G_r(\mathbb{C}^n)\) (English)
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11 September 2003
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The author derives some explicit formulae for intersection numbers on the Grassmannian \(G_r(\mathbb{C}^n)\) and on the moduli space of holomorphic maps of degree \(d\) from \(\mathbb{C} P^1\) to \(G_r(\mathbb{C}^n)\). In particular, the formulae for \(r=2\) and \(r=3\) are given in closed form.
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Grassmannian
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intersection numbers
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moduli space of holomorphic maps
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