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Hypoelliptic Laplacian and Orbital Integrals (AM-177) by Jean-Michel Bismut

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Chapter Three

The displacement function and the return map

The purpose of this chapter is to study the displacement function dγ on X that is associated with a semisimple element image If image denotes the geodesic flow on the total space image of the tangent bundle of X, the critical set image of dγ can be easily related to the fixed point set of the symplectic transformation ...

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