THE PICARD GROUP OF THE LOOP SPACE OF THE RIEMANN SPHERE

DOI10.1142/S0129167X10006471zbMath1208.58012arXivmath/0602667MaRDI QIDQ3067787

Ning Zhang

Publication date: 13 January 2011

Published in: International Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0602667

zbMATH Keywords

Picard groupprojective embeddingloop spaceDolbeault cohomology groupholomorphic line bundle

Mathematics Subject Classification ID

Infinite-dimensional holomorphy (46G20) Manifolds of mappings (58D15) Questions of holomorphy and infinite-dimensional manifolds (58B12)

Related Items (1)

Holomorphic sections of line bundles on the jet spaces of the Riemann sphere

Cites Work

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• Dolbeault cohomology of a loop space
• Holomorphic line bundles on the loop space of the Riemann sphere
• A Kähler structure on the moduli space of isometric maps of a circle into Euclidean space
• The Dolbeault complex in infinite dimensions I
• On the $\overline\partial$-equation in a Banach space
• Holomorphic Functions on (Generalised) Loop Spaces

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