Orientation and string structures on loop space

Dennis McLaughlin

Vol. 155 (1992), No. 1, 143–156

DOI: 10.2140/pjm.1992.155.143

Abstract

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.

Mathematical Subject Classification 2000

Primary: 57R20

Secondary: 58B25, 81T30

Milestones

Received: 14 March 1990

Published: 1 September 1992