Vanishing of one-dimensional \(L^2\)-cohomologies of loop groups

DOI10.1016/j.jfa.2011.06.003zbMath1236.58020arXiv1108.5564OpenAlexW1785788757MaRDI QIDQ719488

Shigeki Aida

Publication date: 10 October 2011

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1108.5564

zbMATH Keywords

loop groupHodge-Kodaira Laplacianvanishing theoremrough path analysis\(L^{2}\)-cohomologyKodaira theorem

Mathematics Subject Classification ID

Infinite-dimensional manifolds (58B99) Exterior differential systems (Cartan theory) (58A15)

Related Items (max. 100)

SHORT TIME FULL ASYMPTOTIC EXPANSION OF HYPOELLIPTIC HEAT KERNEL AT THE CUT LOCUS ⋮ Large deviation principle of Freidlin-Wentzell type for pinned diffusion processes ⋮ Asymptotics of spectral gaps on loop spaces over a class of Riemannian manifolds ⋮ SUPPORT THEOREM FOR PINNED DIFFUSION PROCESSES ⋮ The vanishing of \(L^2\) harmonic one-forms on based path spaces ⋮ Rough path theory and stochastic calculus ⋮ Weitzenböck and Clark-Ocone Decompositions for Differential Forms on the Space of Normal Martingales

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