首页|Quantization of hyper-elliptic curves from isomonodromic systems and topological recursion
Quantization of hyper-elliptic curves from isomonodromic systems and topological recursion
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NSTL
Elsevier
We prove that the topological recursion formalism can be used to compute the WKB expansion of solutions of second order differential operators obtained by quantization of any hyper-elliptic curve. We express this quantum curve in terms of spectral Darboux coordinates on the moduli space of meromorphic sl2-connections on P1 and argue that the topological recursion produces a 2g-parameter family of associated tau functions, where 2g is the dimension of the moduli space considered. We apply this procedure to the 6 Painleve equations which correspond to g =1 and consider a g = 2 example. (c) 2021 Elsevier B.V. All rights reserved.
NSTL
Elsevier
