BPS States, Torus Links and Wild Character Varieties

  title={BPS States, Torus Links and Wild Character Varieties},
  author={Duiliu-Emanuel Diaconescu and Ron Y. Donagi and Tony Pantev},
  journal={Communications in Mathematical Physics},
A string theoretic framework is constructed relating the cohomology of wild character varieties to refined stable pair theory and torus link invariants. Explicit conjectural formulas are derived for wild character varieties with a unique irregular point on the projective line. For this case, this leads to a conjectural colored generalization of existing results of Hausel, Mereb and Wong as well as Shende, Treumann and Zaslow. 

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