模不变性、示性数和$η$不变量
Modular invariance, characteristic numbers and $η$ invariants
摘要：
本文将Alvarez-Gaumé，Witten和Kefeng Liu的“神奇消去”公式推广到一个包含额外复线丛的扭曲形式.我们还应用所得结果讨论了Ochanine [O 1]，Finashin [F]和Zhang [Z1，2]的高维Rokhlin型同余公式之间的内在联系.特别地，给出了Finashin同余公式的一个解析证明.
英文摘要：
We generalize the "miraculous cancellation" formulas of Alvarez-Gaumé, Witten and Kefeng Liu to a twisted version where an extra complex line bundle is involved. We also apply our result to discuss intrinsic relations between the higher dimensional Rokhlin type congruence formulas of Ochanine [O1], Finashin [F] and Zhang [Z1, 2]. In particular, an analytic proof of the Finashin congruence formula is given.
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。
