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

DOI10.1016/j.geomphys.2010.09.005zbMath1223.58009arXiv1003.5556OpenAlexW1917998965MaRDI QIDQ617939

J. M. Speight

Publication date: 14 January 2011

Published in: Journal of Geometry and Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1003.5556

zbMATH Keywords

topological solitonsgeodesic approximationmoduli space geometry

Mathematics Subject Classification ID

Moduli problems for differential geometric structures (58D27) Manifolds of mappings (58D15)

Related Items

The Einstein-Hilbert action of the space of holomorphic maps from \(S^2\) to \(\mathbb CP^k\) ⋮ On the \(L^{2}\)-metric of vortex moduli spaces ⋮ Dynamics of abelian vortices without common zeros in the adiabatic limit

Cites Work

• Unnamed Item
• On the \(L^{2}\)-metric of vortex moduli spaces
• Lump dynamics in the \(\mathbb{C} P^1\) model on the torus
• Kähler-Einstein metrics of cohomogeneity one
• Ricci-flat metrics on the complexification of a compact rank one symmetric space
• Geodesic incompleteness in the \(\mathbb{C} P^1\) model on a compact Riemann surface
• The \(L^{2}\) geometry of spaces of harmonic maps \(S^{2}\to S^2\) and \(\mathbb RP^2\to \mathbb RP^2\)
• Some special Kähler metrics on \(\operatorname{SL} (2,\mathbb C)\) and their holomorphic quantization
• Statistical mechanics of vortices
• Topological Solitons
• Slow equivariant lump dynamics on the two sphere
• The deformed conifold as a geometry on the space of unit charge CP\(^1\) lumps

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