Morse Theory for the Yang-mills Functional via Equivariant Homotopy Theory

  • URSULA GRITSCH
  • Published 2000

Abstract

In this paper we show the existence of non-minimal critical points of the Yang-Mills functional over a certain family of 4-manifolds {M2g : g = 0, 1, 2, . . . } with generic SU(2)-invariant metrics using Morse and homotopy theoretic methods. These manifolds are acted on fixed point freely by the Lie group SU(2) with quotient a compact Riemann surface of… (More)

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