| 单词 | Pontryagin Number |
| 释义 | Pontryagin NumberThe Pontryagin number is defined in terms of the Pontryagin Class of a Manifold as follows. For anycollection of Pontryagin Classes such that their cup product has the sameDimension as the Manifold, this cup product can be evaluated on the Manifold'sFundamental Class. The resulting number is called the Pontryagin number for that combination of Pontryaginclasses. The most important aspect of Pontryagin numbers is that they are Cobordism invariant. Together,Pontryagin and Stiefel-Whitney Numbers determine an oriented manifold's orientedCobordism class. See also Chern Number, Stiefel-Whitney Number |
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