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- W1630778431 abstract "We compare the deformation theory and the analytic structure of the Seiberg-Witten moduli spaces of a Kahler surface to the corresponding components of the Hilbert scheme, and show that they are isomorphic. Next we show how to compute the invariant in case the moduli space is smooth but not of the expected dimension, and apply this study to elliptic surfaces. Finally we discuss ruled surfaces, both products and more general ruled surfaces. For product ruled surfaces we relate the infinitesimal structure of the moduli spaces to Brill-Noether theory and compute the invariant in special cases. For more general ruled surfaces, we relate the geometry of the Hilbert scheme to properties of stable bundles and give more general computations." @default.
- W1630778431 created "2016-06-24" @default.
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- W1630778431 date "1999-01-01" @default.
- W1630778431 modified "2023-09-23" @default.
- W1630778431 title "Obstruction bundles, semiregularity, and Seiberg–Witten invariants" @default.
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- W1630778431 doi "https://doi.org/10.4310/cag.1999.v7.n3.a1" @default.
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