PU(2) monopoles and a conjecture of Marino, Moore, and Peradze
Differential Geometry
2016-04-08 v5 High Energy Physics - Theory
Mathematical Physics
Algebraic Geometry
Geometric Topology
math.MP
Abstract
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).
Cite
@article{arxiv.math/9812125,
title = {PU(2) monopoles and a conjecture of Marino, Moore, and Peradze},
author = {Paul M. N. Feehan and Peter B. Kronheimer and Thomas G. Leness and Tomasz S. Mrowka},
journal= {arXiv preprint arXiv:math/9812125},
year = {2016}
}
Comments
13 pages, 1 figure. Improved exposition, typographical slips corrected, figure and references added. Minor correction on page 2. To appear in Mathematical Research Letters