Polynomial loops on spheres

S. Bauer; Michael Charles Crabb

doi:10.1093/qmath/hah012

Polynomial loops on spheres

S. Bauer, Michael Charles Crabb

University of Aberdeen

Research output: Contribution to journal › Article › peer-review

2 Citations (Web of Science)

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
Pages (from-to)	391-409
Number of pages	18
Journal	Quarterly Journal of Mathematics
Volume	55
Issue number	4
DOIs	https://doi.org/10.1093/qmath/hah012
Publication status	Published - 2004

Keywords

MAPPING SPACES
MORSE-THEORY
TOPOLOGY

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10.1093/qmath/hah012

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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.",

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AU - Crabb, Michael Charles

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AB - 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.

KW - MAPPING SPACES

KW - MORSE-THEORY

KW - TOPOLOGY

U2 - 10.1093/qmath/hah012

DO - 10.1093/qmath/hah012

M3 - Article

SN - 0033-5606

VL - 55

SP - 391

EP - 409

JO - Quarterly Journal of Mathematics

JF - Quarterly Journal of Mathematics

IS - 4

ER -

Polynomial loops on spheres

Abstract

Keywords

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