In this paper,we define a relative equivariant coarse index for proper actions and a relative L^(2)-index.We derive a relative equivariant coarse index theorem connecting the relative equivariant coarse index with the...In this paper,we define a relative equivariant coarse index for proper actions and a relative L^(2)-index.We derive a relative equivariant coarse index theorem connecting the relative equivariant coarse index with the localized equivariant coarse index.Furthermore,we present a calculation formula on the relative L^(2)-index and provide a relative L^(2)-index theorem.Our work is an expansion of the relative index theory which reflects the difference between two manifolds.展开更多
基金supported by National Natural Science Foundation of China(Grant Nos.11771092,11831006,11771143 and 11801178)。
文摘In this paper,we define a relative equivariant coarse index for proper actions and a relative L^(2)-index.We derive a relative equivariant coarse index theorem connecting the relative equivariant coarse index with the localized equivariant coarse index.Furthermore,we present a calculation formula on the relative L^(2)-index and provide a relative L^(2)-index theorem.Our work is an expansion of the relative index theory which reflects the difference between two manifolds.
