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18 April 2024
 
  » arxiv » math.DG/9812125

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PU(2) monopoles and a conjecture of Marino, Moore, and Peradze
Paul M. N. Feehan ; Peter B. Kronheimer ; Thomas G. Leness ; Tomasz S. Mrowka ;
Date 21 Dec 1998
Journal Mathematical Research Letters 6 (1999), pp. 169-182.
Subject Differential Geometry; Algebraic Geometry; Geometric Topology; Mathematical Physics | math.DG hep-th math-ph math.AG math.GT math.MP
AbstractIn 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/97099022).
Source arXiv, math.DG/9812125
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