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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…