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Universal Bundle, Generalized Russian Formula and Non-Abelian Anomaly in Topological Yang-Mills Theory

Jae-Suk Park
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Abstract

We re-examine the geometry and algebraic structure of BRST's of Topological Yang-Mills theory based on the universal bundle formalism of Atiyah and Singer. This enables us to find a natural generalization of the {\it Russian formula and descent equations\/}, which can be used as algebraic method to find the non-Abelian anomalies counterparts in Topological Yang-Mills theory. We suggest that the presence of the non-Abelian anomaly obstructs the proper definition of Donaldson's invariants.

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Jae-Suk Park. 1992-07-15. Universal Bundle, Generalized Russian Formula and Non-Abelian Anomaly in Topological Yang-Mills Theory. https://arxiv.org/abs/hep-th/9205104

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