Geodesic
Witten's Conjecture for many four-manifolds of simple type
Journal of the European Mathematical Society, Tome 17 (2015) no. 4, pp. 899-923

Voir la notice de l'article provenant de la source EMS Press

We prove that Witten's Conjecture [40] on the relationship between the Donaldson and Seiberg-Witten series for a four-manifold of Seiberg-Witten simple type with b1​=0 and odd b2+​≥3 follows from our SO(3)-monopole cobordism formula [6] when the four-manifold has c12​≥χh​−3 or is abundant.
DOI : 10.4171/jems/521
Classification : 57-XX, 58-XX
Keywords: Cobordisms, Donaldson invariants, Seiberg-Witten invariants, smooth four-dimensional manifolds, \( \SO(3) \) monopoles, Yang-Mills gauge theory 
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     title = {Witten's {Conjecture} for many four-manifolds of simple type},
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Paul M.N. Feehan; Thomas G. Leness. Witten's Conjecture for many four-manifolds of simple type. Journal of the European Mathematical Society, Tome 17 (2015) no. 4, pp. 899-923. doi: 10.4171/jems/521

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