12 citations · 15 across the 3 of their papers we have counts for
3 papers
math.DG2005★ 12 cited
The differential topology of loop spaces
Andrew Stacey
This is an introduction to the subject of the differential topology of the space of smooth loops in a finite dimensional manifold. It began as the background notes to a series of s…
math.DG2005★ 2 cited
The Geometry of the Loop Space and a Construction of a Dirac Operator
Andrew Stacey
We describe a construction of fibrewise inner products on the cotangent bundle of the smooth free loop space of a Riemannian manifold. Using this inner product, we construct an ope…
math.AT2002★ 1 cited
Fourier Decompositions of Loop Bundles
Ralph L. Cohen, Andrew Stacey
In this paper we investigate bundles whose structure group is the loop group LU(n). Our main result is to give a necessary and sufficient criterion for there to exist a Fourier typ…