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A GENERALIZED QUOT SCHEME AND MEROMORPHIC VORTICES
Generalized Quot scheme meromorphic vortices moduli space Poincar′e polynomial
2015/12/17
Let X be a compact connected Riemann surface. Fix a positive integer r and two nonnegative integers dp and dz. Consider all pairs of the form (F , f), where F is a holomorphic vector bundle on X of ra...
We use the framework of Quot schemes to give a novel description of the moduli spaces of stable n-pairs, also interpreted as gauged vortices on a closed Riemann surface with target Matr×n(C), where ...