Equivariant vector fields and self-maps of spheres

Costenoble, Steven R. and Waner, Stefan (2002) Equivariant vector fields and self-maps of spheres. Steven R. Costenoble.

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Abstract

We identify, for actions of a compact Lie group, the generalization of the Euler characteristic that is the sole obstruction to the existence of a nowhere-zero smooth equivariant tangent vector field. We use this characteristic to calculate the monoid of self-maps of the unit sphere of a representation. We also generalize the construction of the stable fundamental groupoid for use in future work.

Item Type:	Other
Uncontrolled Keywords:	Euler characteristic, equivariant vector fields, self-maps of spheres
Subjects:	Q Science > Q Science (General) Q Science > QA Mathematics
ID Code:	30
Deposited By:	Admin HofPrints
Deposited On:	03 January 2006

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