球面丛的高解析挠率与$Diff(S^{2n-1})$的连续上同调
Higher analytic torsion of sphere bundles and continuous cohomology of $Diff(S^{2n-1})$
摘要：
利用Bismut和Lott的高阶解析挠率形式，我们构造了光滑球面丛的一个示性类.我们计算这个类的情况下，球面丛来自一个复杂的向量丛。与这些特征类相关，我们定义了奇维球面的非平凡连续群上同调类。
英文摘要：
Using the higher analytic torsion form of Bismut and Lott we construct a characteristic class for smooth sphere bundles. We calculate this class in the case where the sphere bundle comes from a complex vector bundle. Related to these characteristic classes we define nontrivial continuous group cohomology classes of the diffeomorphism group of odd dimensional spheres.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
