椭圆一致伪微分算子的 K-同调类
微分几何
2018-05-09 v1 K理论与同调
摘要
我们证明，有界几何流形上的椭圆一致伪微分算子定义了均匀 K-同调中的一个类，并且该类仅依赖于算子的主符号。
引用
@article{arxiv.1805.02736,
title = {K-homology classes of elliptic uniform pseudodifferential operators},
author = {Alexander Engel},
journal= {arXiv preprint arXiv:1805.02736},
year = {2018}
}
备注
Consists mostly of Section 2 of the preprint arXiv:1502.00494 which is being split up for easier publication. The latter arose out of the Ph.D. thesis arXiv:1410.8030 of the author. To appear in Ann. Global Anal. Geom