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arxiv: math/0007190 · v2 · pith:UBVGZD7Snew · submitted 2000-07-31 · 🧮 math.DG · hep-th· math-ph· math.AG· math.GT· math.MP

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

classification 🧮 math.DG hep-thmath-phmath.AGmath.GTmath.MP
keywords articleseiberg-wittendg-gaearliermodulimonopolesrevisionsections
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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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