Geodesic

Loop spaces and groups of diffeomorphisms

Twistor quantization of loop spaces
p. 5-99
Differential geometry of symplectic and Poisson structures on loop spaces of smooth manifolds, and integrable systems
p. 100-134
Fractional diffusions and quasi-invariant actions of infinite-dimensional groups
p. 135-181
Differentiable measures on current groups
p. 182-188
Quasi-invariant measures on groups of diffeomorphisms
p. 189-208
A~survey of some developments in loop spaces: associated stochastic processes, statistical mechanics, infinite dimensional lie groups, topological quantum fields
p. 209-234
A~stochastic approach to the Virasoro anomaly in quantization of strings in flat space
p. 235-257
A~stochastic approach to the Dirac operator over the free loop space
p. 258-287