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PU(2) monopoles and links of top-level Seiberg-Witten moduli spaces

Paul M. N. Feehan·Thomas G. Leness
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Abstract

This is the first of two articles in which we give a proof - for a broad class of four-manifolds - of Witten's conjecture that the Donaldson and Seiberg-Witten series coincide, at least through terms of degree less than or equal to c-2, where c is a linear combination of the Euler characteristic and signature of the four-manifold. This article is a revision of sections 1-3 of an earlier version of the article dg-ga/9712005, now split into two parts, while a revision of sections 4-7 of that earlier version appears in a recently updated dg-ga/9712005. In the present article, we construct virtual normal bundles for the Seiberg-Witten strata of the moduli space of PU(2) monopoles and compute their Chern classes.

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BibTeXRIS

Paul M. N. Feehan, Thomas G. Leness. 2000-07-31. PU(2) monopoles and links of top-level Seiberg-Witten moduli spaces. https://doi.org/10.1515/crll.2001.069

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