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Orientation and string structures on loop space. (English) Zbl 0739.57012

This paper deals rigorously with the notion of a string structure and the topological obstruction to its existence. The question of orienting loop space is discussed, and shown to be directly analogous to orientation of finite-dimensional manifolds. Finally, equivariant string structures are considered.
Reviewer: D.A.McLaughlin

MSC:

57N20 Topology of infinite-dimensional manifolds
55P35 Loop spaces
58D15 Manifolds of mappings
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