Two-dimensional topological gravity and intersection theory on the moduli space of holomorphic bundles

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Abstract

We define a two-dimensional topological Yang-Mills theory for an arbitrary compact simple Lie group. This theory is defined in terms of intersection theory on the moduli space of flat connections on a two-dimensional surface and corresponds physically to a two-dimensional reduction and truncation of four-dimensional topological Yang-Mills theory. Two-dimensional topological Yang-Mills theory defines a topological matter system and may be naturally coupled to two-dimensional topological gravity. This topological Yang-Mills theory is also closely related to Chern-Simons gauge theory in 2 + 1 dimensions. We also discuss a relation between SL (2,R) Chern-Simons theory and two-dimensional topological gravity. © 1991.

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Killingback, T. P. (1991). Two-dimensional topological gravity and intersection theory on the moduli space of holomorphic bundles. Physics Letters B, 260(3–4), 303–310. https://doi.org/10.1016/0370-2693(91)91616-4

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