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arXiv · hep-th/0210203

Noncommutative Topological Theories of Gravity

H. Garcia-Compean·O. Obregon·C. Ramirez·M. Sabido
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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.

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H. Garcia-Compean, O. Obregon, C. Ramirez, M. Sabido. 2002-12-13. Noncommutative Topological Theories of Gravity. https://doi.org/10.1103/physrevd.68.045010

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