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The vanishing of L2 harmonic one-forms on based path spaces
L2 cohomology Hodge decomposition L2 harmonic forms path space Banach manifold Wiener measure
2012/4/17
We prove the triviality of the first L2 cohomology class of based path spaces of Riemannian manifolds furnished with Brownian motion measure, and the consequent vanishing of L2 harmonic one-forms. We ...