Details

Autor(en) / Beteiligte

• Okonek, Christian
• Teleman, Andrei

Titel

Master Spaces and the Coupling Principle:¶From Geometric Invariant Theory to Gauge Theory

Ist Teil von

• Communications in mathematical physics, 1999-08, Vol.205 (2), p.437-458

Ort / Verlag

Springer Verlag

Erscheinungsjahr

1999

Quelle

Springer LINK 全文期刊数据库

Beschreibungen/Notizen

• 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.