Isomonodromy Aspects of the tt* Equations of Cecotti and Vafa I. Stokes Data

dc.contributor.authorGuest, Martin A.
dc.contributor.authorIts, Alexander R.
dc.contributor.authorLin, Chang-Shou
dc.contributor.departmentDepartment of Mathematical Sciences, School of Scienceen_US
dc.date.accessioned2017-03-22T19:18:02Z
dc.date.available2017-03-22T19:18:02Z
dc.date.issued2015-02
dc.description.abstractWe describe all smooth solutions of the two-function tt*-Toda equations (a version of the tt* equations or equations for harmonic maps into SLnR/SOn SLnR/SOn ) in terms of (1) asymptotic data, (2) holomorphic data, and (3) monodromy data, and we compute all of this data explicitly. This allows us, in particular, to find all solutions with integral Stokes data. These include solutions associated to non-linear sigma models (quantum cohomology) or Landau–Ginzburg models (unfoldings of singularities), as conjectured by Cecotti and Vafa in the 1990s.en_US
dc.eprint.versionAuthor's manuscripten_US
dc.identifier.citationGuest, M. A., Its, A. R., & Lin, C. S. (2015). Isomonodromy aspects of the tt* equations of Cecotti and Vafa I. Stokes data. International Mathematics Research Notices, 2015(22), 11745-11784.en_US
dc.identifier.urihttps://hdl.handle.net/1805/12110
dc.language.isoenen_US
dc.publisherOxforden_US
dc.relation.isversionof10.1093/imrn/rnu250en_US
dc.relation.journalInternational Mathematics Research Noticesen_US
dc.rightsPublisher Policyen_US
dc.sourceAuthoren_US
dc.subjecttwo-function tt*-Toda equationsen_US
dc.subjectasymptotic dataen_US
dc.subjectholomorphic dataen_US
dc.subjectmonodromy dataen_US
dc.titleIsomonodromy Aspects of the tt* Equations of Cecotti and Vafa I. Stokes Dataen_US
dc.typeArticleen_US
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