{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,3,17]],"date-time":"2026-03-17T05:10:42Z","timestamp":1773724242380,"version":"3.50.1"},"reference-count":52,"publisher":"Informa UK Limited","issue":"1","content-domain":{"domain":["www.tandfonline.com"],"crossmark-restriction":true},"short-container-title":["Experimental Mathematics"],"published-print":{"date-parts":[[2024,1,2]]},"DOI":"10.1080\/10586458.2021.1988006","type":"journal-article","created":{"date-parts":[[2021,11,30]],"date-time":"2021-11-30T21:42:00Z","timestamp":1638308520000},"page":"27-68","update-policy":"https:\/\/doi.org\/10.1080\/tandf_crossmark_01","source":"Crossref","is-referenced-by-count":2,"title":["Opers and Non-Abelian Hodge: Numerical Studies"],"prefix":"10.1080","volume":"33","author":[{"given":"David","family":"Dumas","sequence":"first","affiliation":[{"name":"Department of Mathematics, Statistics, and Computer Science, University of Illinois at Chicago, Chicago, IL"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Andrew","family":"Neitzke","sequence":"additional","affiliation":[{"name":"Department of Mathematics, Yale University, New Haven, CT"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"301","published-online":{"date-parts":[[2021,11,30]]},"reference":[{"key":"e_1_3_3_2_1","unstructured":"Acosta J. A. (2016). Holonomy limits of cyclic opers. ProQuest LLC Ph.D. thesis. Rice University Ann Arbor MI."},{"key":"e_1_3_3_3_1","article-title":"Wild nonabelian Hodge theory on curves","author":"Biquard O.","year":"2002","unstructured":"Biquard, O., and Boalch, P. (2002). Wild nonabelian Hodge theory on curves. arXiv:math\/0111098.","journal-title":"arXiv:math\/0111098"},{"key":"e_1_3_3_4_1","doi-asserted-by":"publisher","DOI":"10.1006\/aima.2001.1998"},{"key":"e_1_3_3_5_1","volume-title":"Geometry and Physics","author":"Boalch P.","year":"2018","unstructured":"Boalch, P. (2018). Wild character varieties, meromorphic Hitchin systems and Dynkin diagrams. In: Andrew Dancer, J\u00f8rgen Ellegaard Andersen, and Oscar Garc\u00eda-Prada (Eds.), Geometry and Physics, Vol. II. Oxford: Oxford Univ. Press."},{"key":"e_1_3_3_6_1","article-title":"R-twisting and 4d\/2d correspondences","author":"Cecotti S.","year":"2010","unstructured":"Cecotti, S., Neitzke, A., and Vafa, C. (2010). R-twisting and 4d\/2d correspondences. arXiv:1006.3435.","journal-title":"arXiv:1006.3435"},{"key":"e_1_3_3_7_1","doi-asserted-by":"publisher","DOI":"10.1016\/0550-3213(91)90021-O"},{"key":"e_1_3_3_8_1","doi-asserted-by":"publisher","DOI":"10.1016\/j.aim.2019.04.034"},{"key":"e_1_3_3_9_1","doi-asserted-by":"publisher","DOI":"10.1137\/0710092"},{"key":"e_1_3_3_10_1","article-title":"Aspects of the ODE\/IM correspondence","author":"Dorey P.","year":"2004","unstructured":"Dorey, P., Dunning, C., and Tateo, R. (2004). Aspects of the ODE\/IM correspondence. arXiv:hep-th\/0411069.","journal-title":"arXiv:hep-th\/0411069"},{"key":"e_1_3_3_11_1","doi-asserted-by":"publisher","DOI":"10.1088\/1751-8113\/40\/32\/R01"},{"key":"e_1_3_3_12_1","doi-asserted-by":"publisher","DOI":"10.1088\/0305-4470\/32\/38\/102"},{"key":"e_1_3_3_13_1","doi-asserted-by":"publisher","DOI":"10.1016\/S0550-3213(99)00609-4"},{"key":"e_1_3_3_14_1","doi-asserted-by":"publisher","DOI":"10.1016\/S0550-3213(99)00791-9"},{"key":"e_1_3_3_15_1","first-page":"034","article-title":"Ordinary differential equations and integrable models","volume":"2000","author":"Dorey P. E.","year":"2000","unstructured":"Dorey, P. E., Dunning, C., and Tateo, R. (2000). Ordinary differential equations and integrable models. POS, TMR2000:034, arXiv:hep-th\/0010148.","journal-title":"POS"},{"key":"e_1_3_3_16_1","doi-asserted-by":"publisher","DOI":"10.1016\/j.aim.2017.05.021"},{"key":"e_1_3_3_17_1","doi-asserted-by":"publisher","DOI":"10.1007\/s00220-018-3216-7"},{"key":"e_1_3_3_18_1","doi-asserted-by":"publisher","DOI":"10.7910\/DVN\/W0V4D9"},{"key":"e_1_3_3_19_1","unstructured":"Dumas D. and Neitzke A. (2020). Stokes numerics. https:\/\/github.com\/neitzke\/stokes-numerics\/."},{"key":"e_1_3_3_20_1","doi-asserted-by":"publisher","DOI":"10.1007\/s00039-015-0344-5"},{"key":"e_1_3_3_21_1","article-title":"Opers versus nonabelian Hodge","author":"Dumitrescu O.","year":"2016","unstructured":"Dumitrescu, O., Fredrickson, L., Kydonakis, G., Mazzeo, R., Mulase, M., and Neitzke, A. (2016). Opers versus nonabelian Hodge. July, arxiv:1607.02172. To appear in J. Diff. Geom.","journal-title":"J. Diff. Geom"},{"key":"e_1_3_3_22_1","doi-asserted-by":"publisher","DOI":"10.1007\/s10240-006-0039-4"},{"key":"e_1_3_3_23_1","doi-asserted-by":"publisher","DOI":"10.3842\/SIGMA.2019.018"},{"key":"e_1_3_3_24_1","doi-asserted-by":"publisher","DOI":"10.1007\/s00220-019-03547-9"},{"key":"e_1_3_3_25_1","article-title":"From S\n                  1-fixed points to W-algebra representations","author":"Fredrickson L.","unstructured":"Fredrickson, L., and Neitzke, A. From S1-fixed points to W-algebra representations. arXiv:1709.06142v1.","journal-title":"arXiv:1709.06142v1"},{"key":"e_1_3_3_26_1","article-title":"Opers and TBA. March","author":"Gaiotto D.","year":"2014","unstructured":"Gaiotto, D. (2014). Opers and TBA. March, arXiv:1403.6137.","journal-title":"arXiv:1403.6137"},{"key":"e_1_3_3_27_1","doi-asserted-by":"publisher","DOI":"10.1007\/s00220-010-1071-2"},{"key":"e_1_3_3_28_1","article-title":"Wall-crossing in coupled 2d-4d systems","volume":"12","author":"Gaiotto D.","year":"2012","unstructured":"Gaiotto, D., Moore, G. W., and Neitzke, A. (2012). Wall-crossing in coupled 2d-4d systems. JHEP, 12, arXiv:1103.2598.","journal-title":"JHEP"},{"key":"e_1_3_3_29_1","doi-asserted-by":"publisher","DOI":"10.1007\/s00023-013-0239-7"},{"key":"e_1_3_3_30_1","doi-asserted-by":"publisher","DOI":"10.1016\/j.aim.2012.09.027"},{"key":"e_1_3_3_31_1","article-title":"Non-perturbative approaches to the quantum Seiberg-Witten curve","author":"Grassi A.","unstructured":"Grassi, A., Gu, J., and Marino, M. Non-perturbative approaches to the quantum Seiberg-Witten curve. arXiv:1908.07065.","journal-title":"arXiv:1908.07065"},{"key":"e_1_3_3_32_1","article-title":"Harmonic maps and wild Teichm\u00fcller spaces","author":"Gupta S.","unstructured":"Gupta, S. Harmonic maps and wild Teichm\u00fcller spaces. Journal of Topology and Analysis. arXiv:1708.04780v2.","journal-title":"Journal of Topology and Analysis"},{"key":"e_1_3_3_33_1","doi-asserted-by":"publisher","DOI":"10.4310\/CAG.1995.v3.n1.a3"},{"key":"e_1_3_3_34_1","doi-asserted-by":"publisher","DOI":"10.1016\/0040-9383(92)90044-I"},{"key":"e_1_3_3_35_1","doi-asserted-by":"publisher","DOI":"10.1112\/plms\/s3-55.1.59"},{"key":"e_1_3_3_36_1","article-title":"Exact WKB and Abelianization for the T\n                  3 equation","author":"Hollands L.","unstructured":"Hollands, L., and Neitzke, A. Exact WKB and Abelianization for the T3 equation. arxiv:1906.04271v1.","journal-title":"arxiv:1906.04271v1"},{"key":"e_1_3_3_37_1","doi-asserted-by":"publisher","DOI":"10.1007\/JHEP01(2019)228"},{"key":"e_1_3_3_38_1","doi-asserted-by":"publisher","DOI":"10.1007\/s00220-014-2276-6"},{"key":"e_1_3_3_39_1","doi-asserted-by":"publisher","DOI":"10.1007\/s10711-007-9184-2"},{"key":"e_1_3_3_40_1","doi-asserted-by":"publisher","DOI":"10.1007\/JHEP07(2010)008"},{"key":"e_1_3_3_41_1","doi-asserted-by":"publisher","DOI":"10.1215\/00127094-3476914"},{"key":"e_1_3_3_42_1","doi-asserted-by":"publisher","DOI":"10.1007\/s00220-019-03358-y"},{"issue":"340","key":"e_1_3_3_43_1","first-page":"607","article-title":"Wild harmonic bundles and wild pure twistor D-modules","author":"Mochizuki T.","year":"2011","unstructured":"Mochizuki, T. (2011). Wild harmonic bundles and wild pure twistor D-modules. Ast\u00e9risque, (340):607. arXiv:0803.1344.","journal-title":"Ast\u00e9risque"},{"key":"e_1_3_3_44_1","article-title":"Good wild harmonic bundles and good filtered higgs bundles","author":"Mochizuki T.","year":"2019","unstructured":"Mochizuki, T. (2019). Good wild harmonic bundles and good filtered higgs bundles. arXiv:1902.08298.","journal-title":"arXiv:1902.08298"},{"key":"e_1_3_3_45_1","article-title":"Integral iterations for harmonic maps","author":"Neitzke A.","year":"2017","unstructured":"Neitzke, A. (2017). Integral iterations for harmonic maps, arXiv:1704.01522.","journal-title":"arXiv:1704.01522"},{"key":"e_1_3_3_46_1","doi-asserted-by":"publisher","DOI":"10.1017\/CBO9780511760396"},{"key":"e_1_3_3_47_1","volume-title":"Asymptotic Behavior of Monodromy, volume 1502 of Lecture Notes in Mathematics","author":"Simpson C.","year":"1991","unstructured":"Simpson, C. (1991). Asymptotic Behavior of Monodromy, volume 1502 of Lecture Notes in Mathematics. Berlin: Springer-Verlag. Singularly perturbed differential equations on a Riemann surface."},{"key":"e_1_3_3_48_1","doi-asserted-by":"publisher","DOI":"10.1007\/978-1-4899-7278-1"},{"key":"e_1_3_3_49_1","doi-asserted-by":"publisher","DOI":"10.1090\/S0002-9939-1994-1169052-5"},{"key":"e_1_3_3_50_1","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-319-33578-0_4"},{"key":"e_1_3_3_51_1","volume-title":"The Algebraic Eigenvalue Problem","author":"Wilkinson J. H.","year":"1965","unstructured":"Wilkinson, J. H. (1965). The Algebraic Eigenvalue Problem, Oxford: Clarendon Press."},{"key":"e_1_3_3_52_1","doi-asserted-by":"publisher","DOI":"10.1016\/0040-9383(91)90037-5"},{"key":"e_1_3_3_53_1","doi-asserted-by":"publisher","DOI":"10.1016\/0550-3213(90)90333-9"}],"container-title":["Experimental Mathematics"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.tandfonline.com\/doi\/pdf\/10.1080\/10586458.2021.1988006","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2024,2,26]],"date-time":"2024-02-26T20:00:18Z","timestamp":1708977618000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.tandfonline.com\/doi\/full\/10.1080\/10586458.2021.1988006"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2021,11,30]]},"references-count":52,"journal-issue":{"issue":"1","published-print":{"date-parts":[[2024,1,2]]}},"alternative-id":["10.1080\/10586458.2021.1988006"],"URL":"https:\/\/doi.org\/10.1080\/10586458.2021.1988006","relation":{},"ISSN":["1058-6458","1944-950X"],"issn-type":[{"value":"1058-6458","type":"print"},{"value":"1944-950X","type":"electronic"}],"subject":[],"published":{"date-parts":[[2021,11,30]]},"assertion":[{"value":"The publishing and review policy for this title is described in its Aims & Scope.","order":1,"name":"peerreview_statement","label":"Peer Review Statement"},{"value":"http:\/\/www.tandfonline.com\/action\/journalInformation?show=aimsScope&journalCode=uexm20","URL":"http:\/\/www.tandfonline.com\/action\/journalInformation?show=aimsScope&journalCode=uexm20","order":2,"name":"aims_and_scope_url","label":"Aim & Scope"},{"value":"2021-11-30","order":2,"name":"published","label":"Published","group":{"name":"publication_history","label":"Publication History"}}]}}