标题： 麦道夫的第二类和叶状球面丛的欧拉类 显示英文标题

标题： McDuff's secondary class and the Euler class of foliated sphere bundles

摘要： Tsuboi证明了闭圆盘的Calabi不变量在叶状圆丛的欧拉类上进行了转换，并建议寻找其高维类似物。 在本文中，我们构造了一个具有球面边界的真实上同调平凡流形的体积保持微分同胚群的上同调类，该类与McDuff的次级类密切相关，并证明该上同调类在叶状球面丛的欧拉类上进行了转换。 显示英文摘要

摘要： Tsuboi proved that the Calabi invariant of the closed disk transgresses to the Euler class of foliated circle bundles and suggested looking for its higher-dimensional analog. In this paper, we construct a cohomology class of the group of volume-preserving diffeomorphisms of a real-cohomologically acyclic manifold with sphere boundary, which is closely related to McDuff's secondary class, and prove that this cohomology class transgresses to the Euler class of foliated sphere bundles.