The geometry of loop spaces I: Hs-Riemannian metrics

DOI10.1142/S0129167X15400029zbMath1327.58027arXiv1405.4231WikidataQ115246522 ScholiaQ115246522MaRDI QIDQ5256445

Steven Rosenberg, Fabián Torres-Ardila, Yoshiaki Maeda

Publication date: 17 June 2015

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

Full work available at URL: https://arxiv.org/abs/1405.4231

zbMATH Keywords

pseudodifferential operatorsloop spacesLevi-Civita connections

Mathematics Subject Classification ID

Pseudodifferential and Fourier integral operators on manifolds (58J40) Riemannian, Finsler and other geometric structures on infinite-dimensional manifolds (58B20)

Related Items (6)

The geometry of loop spaces. II: Characteristic classes. ⋮ Maps from a surface into a compact Lie group and curvature ⋮ On transversal connecting orbits of Lagrangian systems in a nonstationary force field: the Newton-Kantorovich approach ⋮ The order of curvature operators on loop groups ⋮ The Palais-Smale condition for the Hamiltonian action on a mixed regularity space of loops in cotangent bundles and applications ⋮ Chern–Weil Theory for Certain Infinite-Dimensional Lie Groups

Cites Work

• The analysis of linear partial differential operators. III: Pseudo-differential operators
• The order of curvature operators on loop groups
• The geometry of loop groups
• A Lefschetz fixed point formula for elliptic complexes. I
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