Master spaces and the coupling principle: from Geometric Invariant Theory to Gauge Theory
Teleman, Andrei ; Okonek, Christian
HAL, hal-00881759 / Harvested from HAL
Text on HAL
We introduce a general mathematical principle, with roots in Geometric Invariant Theory, which provides a unified way for understanding several celebrated results and conjectures like e. g. the Verlinde formula, the Vafa-Intriligator formula, and Witten's conjecture about the relation between Donaldson theory and Seiberg-Witten theory. This principle also suggests new results about Gromov invariants of moduli spaces of stable bundles over curves, and shows that gauge theoretical invariants associated with moduli spaces of PU(2)-monopoles are determined by Seiberg-Witten and Donaldson invariants.
Publié le : 1999-08-05
Classification:  Geometric Invariant Theory,  Gauge Theory,  Master Space,  localization,  14L24, 14J80, 57R57,  [MATH.MATH-DG]Mathematics [math]/Differential Geometry [math.DG],  [MATH.MATH-AG]Mathematics [math]/Algebraic Geometry [math.AG] 
@article{hal-00881759,
     author = {Teleman, Andrei and Okonek, Christian},
     title = {Master spaces and the coupling principle: from Geometric Invariant Theory to Gauge Theory},
     journal = {HAL},
     volume = {1999},
     number = {0},
     year = {1999},
     language = {en},
     url = {http://dml.mathdoc.fr/item/hal-00881759}
}

Teleman, Andrei; Okonek, Christian. Master spaces and the coupling principle: from Geometric Invariant Theory to Gauge Theory. HAL, Tome 1999 (1999) no. 0, . http://gdmltest.u-ga.fr/item/hal-00881759/