Department of Mathematics

Geometry and Topology

  •  Boyu Zhang, Harvard University
  •  Rectifiability and Minkowski bounds for the singular sets of multiple-valued harmonic spinors
  •  02/06/2018
  •  2:00 PM - 3:00 PM
  •  C304 Wells Hall

We prove that the singular set of a multiple-valued harmonic spinor on a 4-manifold is 2-rectifiable and has finite Minkowski content. This result improves a regularity result of Taubes in 2014. It implies more precise descriptions for the limit behavior of non-convergent sequences of solutions to many important gauge-theoretic equations, such as the Kapustin-Witten equations, the Vafa-Witten equations, and the Seiberg-Witten equations with multiple spinors.



Department of Mathematics
Michigan State University
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