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I'm looking at the excess intersection formula, as seen in Fulton's Intersection Theory. What I would like, however, is a similar formula in the case were the spaces involved may be non-orientable. Presumably this would need to involve Stiefel-Whitney classes and a real excess bundle, but I'm not sure how the formula would change. Any ideas or references on how to generalize?

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Funny thing: I have to talk in a reading seminar about Ginzburg-Chriss's coverage of the topic, tomorrow in fact. They call it "Access Intersection Formula", and I always wondered why. I guess now I know - it's a typo! –  David Jordan Sep 22 '10 at 0:23
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