Communications of the Korean Mathematical Society (대한수학회논문집)
- Volume 9 Issue 4
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- Pages.927-931
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- 1994
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- 1225-1763(pISSN)
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- 2234-3024(eISSN)
$Z_2$ -VECTOR BUNDLES OVER $S^1$
Abstract
Let G be a cyclic group of order 2 and let $S^1$ denote the unit circle in $R^2$ with the standard metric. We consider smooth G-vector bundles over $S^1$ when G acts on $S^1$ by reflection. Then the fixed point set of G on $S^1$ is two points ${z_0, z_1}$. Let $E
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