A Riemann–Hilbert problem for uncoupled BPS structures
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We study the Riemann–Hilbert problem attached to an uncoupled BPS structure proposed by Bridgeland in (“Riemann–Hilbert problems from Donaldson–Thomas theory I”). We show that it has “essentially” unique meromorphic solutions given by a product of Gamma functions. We reconstruct the corresponding connection.
Mathematics Subject Classification14 30D 33B15 45Q05
The author is grateful to Tom Bridgeland for many interesting discussions. Thanks are also due to Dylan Allegretti, Jacopo Stoppa (and the anonymous referee) for their comments on the preliminary version. The research leading to these results has received funding from the European research council.
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