K-理论Euler类与签名类的Mod-2等价性
Mod-2 Equivalence of the K-theoretic Euler and Signature Classes
摘要：
本文证明了偶数维闭流形上的de Rham算子和签名算子的符号类作为K-理论元是模2同余的。对等变欧拉示性数和多重签名进行了等变推广。
英文摘要：
This note proves that, as K-theory elements, the symbol classes of the de Rham operator and the signature operator on a closed manifold of even dimension are congruent mod 2. An equivariant generalization is given pertaining to the equivariant Euler characteristic and the multi-signature.
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。
