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A Conformally Invariant Gap Theorem in Yang–Mills Theory

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Abstract

We show a sharp conformally invariant gap theorem for Yang–Mills connections in dimension 4 by exploiting an associated Yamabe-type problem.

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Authors and Affiliations

  1. Department of Mathematics, University of Notre Dame, Notre Dame, IN, 46556, USA

    Matthew Gursky

  2. Department of Mathematics, Princeton University, Princeton, NJ, 08540, USA

    Casey Lynn Kelleher

  3. Department of Mathematics, University of California, Irvine, CA, 92617, USA

    Jeffrey Streets

Authors
  1. Matthew Gursky
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  2. Casey Lynn Kelleher
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  3. Jeffrey Streets
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Corresponding author

Correspondence to Casey Lynn Kelleher.

Additional information

Communicated by P. T. Chrusciel.

The first author acknowledges the support of NSF Grant DMS-1509633. The second author was supported by a University of California President’s Dissertation Year Fellowship during this work. The third author acknowledges the support of NSF Grant DMS-1454854.

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Gursky, M., Kelleher, C.L. & Streets, J. A Conformally Invariant Gap Theorem in Yang–Mills Theory. Commun. Math. Phys. 361, 1155–1167 (2018). https://doi.org/10.1007/s00220-017-3070-z

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  • DOI: https://doi.org/10.1007/s00220-017-3070-z

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