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Donaldson invariants for nonsimply connected manifolds | | Marcos Marino
; Gregory Moore
; | | Date: |
15 Apr 1998 | | Journal: | Commun.Math.Phys. 203 (1999) 249 | | Subject: | High Energy Physics - Theory; Algebraic Geometry | hep-th math.AG | | Abstract: | We study Coulomb branch (``u-plane’’) integrals for $CN=2$ supersymmetric $SU(2),SO(3)$ Yang-Mills theory on 4-manifolds $X$ of $b_1(X)>0, b_2^+(X)=1$. Using wall-crossing arguments we derive expressions for the Donaldson invariants for manifolds with $b_1(X)>0, b_2^+(X)>0$. Explicit expressions for $X=IC P^1 imes F_g$, where $F_g$ is a Riemann surface of genus $g$ are obtained using Kronecker’s double series identity. The result might be useful in future studies of quantum cohomology. | | Source: | arXiv, hep-th/9804104 | | Services: | Forum | Review | PDF | Favorites | |
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