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The additive and multiplicative orders of a complex line-bundle

Published online by Cambridge University Press:  24 October 2008

Harsh Pittie
Harsh Pittie
Affiliation:
Courant Institute of Mathematical Sciences, New York University
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Extract

Let X be a finite CW-complex, and ξ: Eξ → X a complex line-bundle on X. This bundle determines an element c1(ξ) in H2(X:Z) and a class ; let m(ξ), a(ξ) be the orders (possibly infinite) of these elements in their respective groups. How are m(ξ) and a(ξ) related? The answer is contained in the following three propositions.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 70 , Issue 3 , November 1971 , pp. 395 - 397
Copyright
Copyright © Cambridge Philosophical Society 1971

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References

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