Geodesic
Genus-One Correction to Multicut Matrix Model Solutions
Teoretičeskaâ i matematičeskaâ fizika, Tome 141 (2004) no. 3, pp. 358-374

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We calculate genus-one corrections to the Hermitian one-matrix model solution with an arbitrary number of cuts based on the loop equation, confirming the answer previously obtained from algebro-geometric considerations and generalizing it to the case of arbitrary potentials.
Keywords: loop equation, genus expansion, hyperelliptic geometry. 
@article{TMF_2004_141_3_a2,
     author = {L. O. Chekhov},
     title = {Genus-One {Correction} to {Multicut} {Matrix} {Model} {Solutions}},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {358--374},
     publisher = {mathdoc},
     volume = {141},
     number = {3},
     year = {2004},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_2004_141_3_a2/}
}
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L. O. Chekhov. Genus-One Correction to Multicut Matrix Model Solutions. Teoretičeskaâ i matematičeskaâ fizika, Tome 141 (2004) no. 3, pp. 358-374. http://geodesic.mathdoc.fr/item/TMF_2004_141_3_a2/