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    • CommentRowNumber1.
    • CommentAuthorAndrew Stacey
    • CommentTimeJan 16th 2013
    • (edited Feb 1st 2013)

    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 background notes to a series of seminars given at NTNU and subsequently at Sheffield. The topics covered are: the smooth structure of the space of smooth loops; constructions involving vector bundles; submanifolds and tubular neighbourhoods; and a short introduction to the geometry and semi-infinite structure of loop spaces. It is meant to be readable by anyone with a good grounding in finite dimensional differential topology.

    This document is available in several different formats:

    • One document in PDF or PS
    • On the arXiv as math.DG/0510097
    • As a MathML document created using tex4ht.
    • As a MathML document converted by my LaTeX converter class.
    • As an ePub3 document converted from the above.
    • A list of references in PDF

    Note: the MathML and ePub versions should be regarded as slightly experimental.