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The volume of the space of holomorphic maps from \(S^{2}\) to \(\mathbb C\mathbb P^k\) - MaRDI portal

The volume of the space of holomorphic maps from \(S^{2}\) to \(\mathbb C\mathbb P^k\) (Q617939)

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The volume of the space of holomorphic maps from \(S^{2}\) to \(\mathbb C\mathbb P^k\)
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    The volume of the space of holomorphic maps from \(S^{2}\) to \(\mathbb C\mathbb P^k\) (English)
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    14 January 2011
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    The author computes the volume of \(\mathcal{H}_{1,k}(S^2)\). The latter is the space of degree 1 holomorphic maps from \(S^2\) to \(\mathbb{C}\mathbb{P}^k\) and is equipped with the \(L^2\) metric.
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    geodesic approximation
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    topological solitons
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    moduli space geometry
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