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arxiv: 1510.07852 · v4 · pith:GJP44MTPnew · submitted 2015-10-27 · 🧮 math.AG · math.AT

Universal Gysin formulas for flag bundles

classification 🧮 math.AG math.AT
keywords bundlesformulasclassesflaguniversalapplicationcharacteristicdeterminantal
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We give push-forward formulas for all flag bundles of types A, B, C, D. The formulas (and also the proofs) involve only Segre classes of the original vector bundles and characteristic classes of universal bundles. As an application, we provide new determinantal formulas.

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