Department of Mathematics

Geometry and Topology

  •  Wall-crossing for the Seiberg-Witten equation with two spinors
  •  10/05/2017
  •  2:00 PM - 3:00 PM
  •  C304 Wells Hall
  •  Thomas Walpuski, MSU

Unlike for the classical Seiberg-Witten equation, compactness fails for the Seiberg-Witten equation with multiple spinors. This non-compactness is caused by Fueter sections with values in the moduli space of charge 1 SU(n) ASD instantons. In the simplest case, n = 2, those are Z/2 harmonic spinors. In this talk I will explain in more detail what the preceding sentences mean and then discuss the wall-crossing caused by the appearance of (non-singular) Z/2 harmonic spinors. Time permitting, I will discuss how our wall-crossing formulae can be used to prove the existence of singular Fueter sections. This is joint work with Aleksander Doan.

 

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Michigan State University
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