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The Quarterly Journal of Mathematics 2004 55(4):391-409; doi:10.1093/qmath/hah012
© 2004 by Oxford University Press
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Polynomial loops on spheres

Sven Bauer and Michael Crabb

Department of Mathematical Sciences, University of Aberdeen, Aberdeen AB24 3UE

The space of algebraic (Laurent polynomial) free loops on a sphere is filtered by the degree. It is shown that this filtration admits a natural stable splitting that corresponds to the known splitting, as a wedge of Thom spaces, of the homotopy-equivalent space of continuous loops.

Received 5 September 2002. Revised 10 December 2003.


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