Abdolmaleki, Yavar2023-03-012023-03-012022https://unbscholar.lib.unb.ca/handle/1882/13270In this thesis, using the calculation of a couple of Kasparov products of asymptotically equivariant cycles, we find the index of an asymptotically equivariant Dirac-Schr¨odinger operator on a hyperbolic manifold. In fact, using the calculation of the Kasparov products of a couple of asymptotically equivariant cycles, we reduce the problem of finding the index to the case in which the manifold is compact and so the problem reduces to the Atiyah-Singer index theorem.text/xmlviii, 98 pageselectronicen-CAhttp://purl.org/coar/access_right/c_abf2doctoral thesis2023-03-01Kucerovsky, DanMathematics and Statistics