Global Analysis on Foliated Spaces: Transverse Measures

By C. Moore, Claude L. Schochet. 2005

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Equicontinuous foliated spaces (2009, background): “General references on foliated spaces are [11], [18], [5].”
Dynamics of meromorphic maps with small topological degree III: geometric currents and ergodic theory (2008, background): “τ, invariant under the equivalence relation defined by the unstable leaves (see the discussion of transverse measures in [ MS ]).”
The Ruelle-Sullivan map for actions of ℝn (2006, background): “In our situation we have an action rather than just a foliation but if the action is locally free this yields a foliated space, in the sense of Moore and Schochet [MS88].”
Čech-De Rham theory for leaf spaces of foliations (2000, background): “e.g. Section 3 of [6], or [ 29 ] p 126), and also gives new qualitative information about it. Fix a transversal basis U for F. A smooth transverse measure � is just a measure on each U ∈ U, which is invariant w.r.t.”
Almost isometric actions, property (T), and local rigidity (2003, methodology): “For background on foliated spaces, their tangent bundles, and transverse invariant measures, the reader is referred to [CC] or [ MS ].”
Coisotropic Intersections (2006, background): “, [MoSc] and references therein for a discussion of foliated de Rham cohomology.”