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Master spaces and the coupling principle: From geometric invariant theory to gauge theory

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Publication:1809234
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DOI10.1007/s002200050685zbMath0959.14028OpenAlexW2001713447MaRDI QIDQ1809234

Christian Okonek, Andrei Teleman

Publication date: 16 December 1999

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s002200050685

zbMATH Keywords

geometric invariant theorySeiberg-Witten invariantsDonaldson invariantsmaster spacescoupling principleGromov invariantsgauge theoretical invariants


Mathematics Subject Classification ID

Geometric invariant theory (14L24) Gromov-Witten invariants, quantum cohomology, Gopakumar-Vafa invariants, Donaldson-Thomas invariants (algebro-geometric aspects) (14N35) Yang-Mills and other gauge theories in quantum field theory (81T13) Topology of surfaces (Donaldson polynomials, Seiberg-Witten invariants) (14J80)


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Abelian Yang-Mills theory on real tori and theta divisors of Klein surfaces, Symplectic and hyper-Kähler structures in a dimensional reduction of the Seiberg-Witten equations with a Higgs field, A useful semistability criterion, Kähler classes on universal moduli spaces and volumina of Quot spaces, Mastering the master space



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