19 citations · 24 across the 5 of their papers we have counts for
5 papers
On the geometry of almost -manifolds
Sean Fitzpatrick
An -structure on a manifold is an endomorphism field satisfying . We call an -structure {\em regular} if the distribution is involutive and regular…
On transversally elliptic operators and the quantization of manifolds with -structure
Sean Fitzpatrick
An -structure on a manifold is an endomorphism field $ϕ\inΓ(M,\End(TM))$ such that . Any -structure determines an almost CR structure $E_{1,0}\subset T_\C M$…
On the geometric quantization of contact manifolds
Sean Fitzpatrick
Suppose that is a compact contact manifold, and that a compact Lie group acts on transverse to the contact distribution . In an earlier paper, we defined a -t…
An equivariant index formula for almost-CR manifolds
Sean Fitzpatrick
We consider a consider the case of a compact manifold M, together with the following data: the action of a compact Lie group H and a smooth H-invariant distribution E, such that th…
An equivariant index formula for elliptic actions on contact manifolds
Sean Fitzpatrick
Given an elliptic action of a compact Lie group on a co-oriented contact manifold one obtains two naturally associated objects: A -transversally elliptic operator $\…