Abstract
In this paper, we extend Roe's cyclic $1$-cocycle to relative settings. We also prove two relative index theorems for partitioned manifolds by using its cyclic cocycle, which are generalizations of index theorems on partitioned manifolds. One of these theorems is a variant of Theorem 3.3 in “Relative-partitioned index theorem” by M. Karami, A.H.S. Sadegh and M.E. Zadeh.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have