Gauge Theoretical Equivariant Gromov–Witten Invariants and the Full Seiberg–Witten Invariants¶of Ruled Surfaces

@article{Okonek2002GaugeTE,
  title={Gauge Theoretical Equivariant Gromov–Witten Invariants and the Full Seiberg–Witten Invariants¶of Ruled Surfaces},
  author={Christian Okonek and Andrei Teleman},
  journal={Communications in Mathematical Physics},
  year={2002},
  volume={227},
  pages={551-585}
}
  • C. Okonek, A. Teleman
  • Published 15 February 2001
  • Mathematics, Physics
  • Communications in Mathematical Physics
Abstract:Let F be a differentiable manifold endowed with an almost Kähler structure (J,ω), α a J-holomorphic action of a compact Lie group on F, and K a closed normal subgroup of which leaves ω invariant.The purpose of this article is to introduce gauge theoretical invariants for such triples (F,α,K). The invariants are associated with moduli spaces of solutions of a certain vortex type equation on a Riemann surface Σ.Our main results concern the special case of the triple where αcan denotes… Expand
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