In this paper, we compute lower dimensional volumes Vol_4^((1,1)) and Vol_6^((2,2)) about Witten deformation for 4, 6-dimensional spin manifolds with boundary respectively, and get assosiated Kastler–Kalau–Walze typ...In this paper, we compute lower dimensional volumes Vol_4^((1,1)) and Vol_6^((2,2)) about Witten deformation for 4, 6-dimensional spin manifolds with boundary respectively, and get assosiated Kastler–Kalau–Walze type theorems. We also give theoritic explaination of the gravitational action for 4, 6 dimensional manifolds with boundary by these noncommutative residues.展开更多
基金Science Foundation for(Grant No.BS423)Inner Mongolia Natural Science Foundation for(Grant No.2018LHO1004)
文摘In this paper, we compute lower dimensional volumes Vol_4^((1,1)) and Vol_6^((2,2)) about Witten deformation for 4, 6-dimensional spin manifolds with boundary respectively, and get assosiated Kastler–Kalau–Walze type theorems. We also give theoritic explaination of the gravitational action for 4, 6 dimensional manifolds with boundary by these noncommutative residues.
