Abstract
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.
Original language | English |
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Pages (from-to) | 391-409 |
Number of pages | 18 |
Journal | Quarterly Journal of Mathematics |
Volume | 55 |
Issue number | 4 |
DOIs | |
Publication status | Published - 2004 |
Keywords
- MAPPING SPACES
- MORSE-THEORY
- TOPOLOGY