solidot新版网站常见问题,请点击这里查看。
消息
本文已被查看2177次
C*-Algebraic Higher Signatures and an Invariance Theorem in Codimension Two. (arXiv:1710.02090v1 [math.KT])
来源于:arXiv
We revisit the construction of signature classes in C*-algebra K-theory, and
develop a variation that allows us to prove equality of signature classes in
some situations involving homotopy equivalences of noncompact manifolds that
are only defined outside of a compact set. As an application, we prove a
counterpart for signature classes of a codimension two vanishing theorem for
the index of the Dirac operator on spin manifolds (the latter is due to Hanke,
Pape and Schick, and is a development of well-known work of Gromov and Lawson). 查看全文>>