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Donaldson invariants of product ruled surfaces and two-dimensional gauge theories | | Carlos Lozano
; Marcos Marino
; | | Date: |
20 Jul 1999 | | Journal: | Commun.Math.Phys. 220 (2001) 231-261 | | Subject: | High Energy Physics - Theory; Algebraic Geometry | hep-th math.AG | | Abstract: | Using the u-plane integral of Moore and Witten, we derive a simple expression for the Donaldson invariants of $Sigma_g imes S^2$, where $Sigma_g$ is a Riemann surface of genus g. This expression generalizes a theorem of Morgan and Szabo for g=1 to any genus g. We give two applications of our results: (1) We derive Thaddeus’ formulae for the intersection pairings on the moduli space of rank two stable bundles over a Riemann surface. (2) We derive the eigenvalue spectrum of the Fukaya-Floer cohomology of $Sigma_g imes S^1$. | | Source: | arXiv, hep-th/9907165 | | Services: | Forum | Review | PDF | Favorites | |
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