Taubes’ Theorem

  • Daniel S. Freed
  • Karen K. Uhlenbeck
  • Mathematical Sciences Research Institute
Part of the Mathematical Sciences Research Institute Publications book series (MSRI, volume 1)

Abstract

The grafting procedure of §6 provides us with a family of almost self-dual connections centered about any point yM. Now we want to perturb these to produce self-dual connections. Let D be an almost self-dual connection (we define this notion precisely later), and let F denote its curvature. Then the curvature F A of a perturbation D + A is
$$ {F_A} = F + DA + A \wedge A, $$
whereby the anti-self-dual part of F A is
$$ P\_{F_{A}} = P\_F + P\_DA + P\_(A \wedge A). $$

Keywords

Manifold 

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Copyright information

© Springer-Verlag New York Inc. 1991

Authors and Affiliations

  • Daniel S. Freed
    • 1
  • Karen K. Uhlenbeck
    • 1
  • Mathematical Sciences Research Institute
    • 2
  1. 1.Department of MathematicsUniversity of Texas at AustinAustinUSA
  2. 2.BerkeleyUSA

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