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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

Sobolev Inequality Weak Limit Convergent Subsequence Continuity Method Eigenvalue Estimate 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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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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