PU(2) monopoles and a conjecture of Marino, Moore, and Peradze

Details PU(2) monopoles and a conjecture of Marino, Moore, and Peradze PU(2) monopoles and a conjecture of Marino, Moore, and Peradze

1998-12-21

arxiv.org/abs/math/9812125v5

Mathematical Research Letters 6 (1999), pp. 169-182

Mathematics

Differential Geometry

13 pages, 1 figure. Improved exposition, typographical slips corrected, figure and references added. Minor correction on page

Scientific paper

In this article we show that some of the recent results of Marino, Moore, and Peradze (math.DG/9812042, hep-th/9812055) -- in particular their conjecture that all closed, smooth four-manifolds with b_2^+ > 1 (and Seiberg-Witten simple type) are of `superconformal simple type' -- can be understood using a simple mathematical argument via the PU(2)-monopole cobordism of Pidstrigach and Tyurin (dg-ga/9507004) and results of the first and third authors (dg-ga/9712005, dg-ga/9709022).

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