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The Signature of Fiber Bundles

Name: The Signature of Fiber Bundles
Creator: James A. Schafer
Keywords: Characteristic classes and numbers in differential topology, 4. Education, Fiber bundles in algebraic topology, 0101 mathematics, 01 natural sciences

The signature of fiber bundles

descriptionPublicationkeyboard_double_arrow_right Article , Other literature type 01 Jun 1972Publisher:JSTORJournal:Proceedings of the American Mathematical Society, volume 33, page 548 (issn: 0002-9939,

Authors: James A. Schafer;

doi: 10.2307/2038096 , 10.1090/s0002-9939-1972-0324696-0

The Signature of Fiber Bundles

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Abstract

Let Y ↪ Z π → X Y\hookrightarrow Z\underrightarrow \pi X be a locally trivial fiber bundle in the category of oriented topological manifolds. It is shown that if the identity component of the structure group G G has finite index, then (signature of Z Z )=(signature of X X ) ◼ \blacksquare (signature of Y Y ).

Keywords

Characteristic classes and numbers in differential topology, Fiber bundles in algebraic topology

Impact byBIP!

	citations This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).	11
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	influence This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).	Top 10%
	impulse This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.	Average