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 complex connection, from which the Euler characteristic and the signature invariant are obtained. Finally, we speculate on the description of noncommutative gravitational instantons, as well as noncommutative local gravitational anomalies.
- Received 19 December 2002
DOI:https://doi.org/10.1103/PhysRevD.68.045010
©2003 American Physical Society
