Noncommutative Topological Theories of Gravity
arXiv:hep-th/0210203 · doi:10.1103/PhysRevD.68.045010
Abstract
The possibility of noncommutative topological gravity arising in the same manner as Yang-Mills theory is explored. We use the Seiberg-Witten map to construct such a theory based on a SL(2,C) complex connection, from which the Euler characteristic and the signature invariant are obtained. This gives us a way towards the description of noncommutative gravitational instantons as well as noncommutative local gravitational anomalies.
17+1 pages, LaTeX, no figures, some clarifications, comments and references added, style improved