Grassmannian上(双)对称多项式与积分的恒等式
Identities involving (doubly) symmetric polynomials and integrals over Grassmannians
摘要:
我们得到的身份涉及对称和双对称多项式。这些恒等式提供了一种处理出现在格拉斯曼的Atiyah-Bott-Berline-Vergne公式中的表达式的方法。作为推论,我们得到了重言式丛的特征类的格拉斯曼算子上的积分公式。此外,我们提供了一个有效的证明马丁公式的经典格拉斯曼。
英文摘要:
We obtain identities involving symmetric and doubly symmetric polynomials. These identities provide a way of handling expressions appearing in the Atiyah-Bott-Berline-Vergne formula for Grassmannians. As corollaries, we obtain formulas for integrals over Grassmannians of characteristic classes of the tautological bundles. Moreover, we provide a valid proof of the Martin formula for the classical Grassmannian.
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