叶子环的扭曲高次谐波签名
The Twisted Higher Harmonic Signature for Foliations
摘要：
证明了在叶向U（p，q）-平坦复丛中系数的紧致黎曼流形的偶数维定向黎曼叶状结构的高调和特征标是叶向同伦不变量.我们还证明了叶同伦不变性的扭曲更高的贝蒂类。诺维科夫猜想的叶状和群体的后果进行了研究。替换了《叶子I：未扭曲的情况》的《高次谐波签名》，并包含了重大的改进。
英文摘要：
We prove that the higher harmonic signature of an even dimensional oriented Riemannian foliation of a compact Riemannian manifold with coefficients in a leafwise U(p,q)-flat complex bundle is a leafwise homotopy invariant. We also prove the leafwise homotopy invariance of the twisted higher Betti classes. Consequences for the Novikov conjecture for foliations and for groups are investigated. Replaces The Higher Harmonic Signature for Foliations I: The Untwisted Case, and contains significant improvements.
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。
