扭转上链和更高的扭转
Twisting cochains and higher torsion
摘要：
本文对EdBrown的“扭曲余链”在高FR挠率和高解析挠率中的中心作用作了简要的总结。简单地说，任何纤维丛给出一个扭曲上链，它在纤维同伦等价下是唯一的。然而，当它们是基础时，它们之间的差异是由更高的FR挠率测量的更高的代数K理论类。平坦的超连接也等价于扭曲的上链。
英文摘要：
This paper gives a short summary of the central role played by Ed Brown's "twisting cochains" in higher Franz-Reidemeister (FR) torsion and higher analytic torsion. Briefly, any fiber bundle gives a twisting cochain which is unique up to fiberwise homotopy equivalence. However, when they are based, the difference between two of them is a higher algebraic K-theory class measured by higher FR torsion. Flat superconnections are also equivalent to twisting cochains.
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。
