Witten, Edward Supersymmetric Yang-Mills theory on a four-manifold. (English) Zbl 0822.58067 J. Math. Phys. 35, No. 10, 5101-5135 (1994). Summary: By exploiting standard facts about \(N = 1\) and \(N = 2\) supersymmetric Yang-Mills theory, the Donaldson invariants of four-manifolds that admit a Kähler metric can be computed. The results are in agreement with available mathematical computations, and provide a powerful check on the standard claims about supersymmetric Yang-Mills theory. Cited in 63 Documents MSC: 58Z05 Applications of global analysis to the sciences 81T13 Yang-Mills and other gauge theories in quantum field theory 81T60 Supersymmetric field theories in quantum mechanics Keywords:supersymmetric Yang-Mills; Donaldson invariants; four-manifolds; Kähler metric PDFBibTeX XMLCite \textit{E. Witten}, J. Math. Phys. 35, No. 10, 5101--5135 (1994; Zbl 0822.58067) Full Text: DOI arXiv References: [1] DOI: 10.1016/0550-3213(83)90338-3 · doi:10.1016/0550-3213(83)90338-3 [2] DOI: 10.1016/0370-1573(88)90182-2 · doi:10.1016/0370-1573(88)90182-2 [3] DOI: 10.1016/0550-3213(84)90058-0 · doi:10.1016/0550-3213(84)90058-0 [4] DOI: 10.1007/BF01223371 · Zbl 0656.53078 · doi:10.1007/BF01223371 [5] DOI: 10.1016/0920-5632(88)90366-0 · Zbl 0958.58500 · doi:10.1016/0920-5632(88)90366-0 [6] DOI: 10.1016/0040-9383(90)90001-Z · Zbl 0715.57007 · doi:10.1016/0040-9383(90)90001-Z [7] DOI: 10.1090/S0273-0979-1988-15576-0 · Zbl 0662.57016 · doi:10.1090/S0273-0979-1988-15576-0 [8] O’Grady K. G., J. Diff. Geom. 35 pp 415– (1992) [9] DOI: 10.1016/0393-0440(92)90034-X · Zbl 0768.53042 · doi:10.1016/0393-0440(92)90034-X [10] Seiberg N., Nucl. Phys. B 208 pp 75– (1988) [11] DOI: 10.1007/BF02100009 · Zbl 0762.53063 · doi:10.1007/BF02100009 [12] Donaldson S., J. Diff. Geom. 26 pp 141– (1987) [13] DOI: 10.1016/0370-2693(93)91541-T · doi:10.1016/0370-2693(93)91541-T This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.