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BPS States, Torus Links and Wild Character Varieties

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Abstract

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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Authors and Affiliations

  1. NHETC, Rutgers University, 126 Frelinghuysen Road, Piscataway, NJ, 08854, USA

    Duiliu-Emanuel Diaconescu

  2. David Rittenhouse Laboratory, Department of Mathematics, University of Pennsylvania, 209 South 33rd Street, Philadelphia, PA, 19104, USA

    Ron Donagi & Tony Pantev

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  1. Duiliu-Emanuel Diaconescu
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  2. Ron Donagi
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  3. Tony Pantev
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Correspondence to Duiliu-Emanuel Diaconescu.

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Communicated by N. Nekrasov

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Diaconescu, DE., Donagi, R. & Pantev, T. BPS States, Torus Links and Wild Character Varieties. Commun. Math. Phys. 359, 1027–1078 (2018). https://doi.org/10.1007/s00220-018-3097-9

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