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Sean Fitzpatrick

5 papers hereh-index 336 citations10 works total

Matching runs newest-first, so older work may not be attached to this profile yet.

author position
  • sole author5

Across the 5 of 5 papers where every author was matched, so the position is known.

fields
  • math.DG4
  • math.SG1

identity via Semantic Scholar / OpenAlex

activity
20072011
most citedOn the geometric quantization of contact manifolds

19 citations · 24 across the 5 of their papers we have counts for

collaborators
Showing math.DGShow all

4 papers · 1 filter

math.DG2011★ 1 cited

On the geometry of almost S-manifolds

Sean Fitzpatrick

An f-structure on a manifold M is an endomorphism field ϕ satisfying ϕ3+ϕ=0. We call an f-structure {\em regular} if the distribution T=kerϕ is involutive and regular…

math.DG2011★ 1 cited

On transversally elliptic operators and the quantization of manifolds with f-structure

Sean Fitzpatrick

An f-structure on a manifold M is an endomorphism field $ϕ\inΓ(M,\End(TM))$ such that ϕ3+ϕ=0. Any f-structure ϕ determines an almost CR structure $E_{1,0}\subset T_\C M$…

math.DG2008★ 1 cited

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…

math.DG2007★ 2 cited

An equivariant index formula for elliptic actions on contact manifolds

Sean Fitzpatrick

Given an elliptic action of a compact Lie group G on a co-oriented contact manifold (M,E) one obtains two naturally associated objects: A G-transversally elliptic operator $\…

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