Higgs bundles and exceptional isogenies

Steven B. Bradlow, Laura P. Schaposnik

Research output: Contribution to journalArticlepeer-review

Abstract

We explore relations between Higgs bundles that result from isogenies between low-dimensional Lie groups, with special attention to the spectral data for the Higgs bundles. We focus on isogenies onto SO (4 , C) and SO (6 , C) and their split real forms. Using fiber products of spectral curves, we obtain directly the desingularizations of the (necessarily singular) spectral curves associated with orthogonal Higgs bundles. In the case of SO (6 , C) , our construction can be interpreted as a new description of Recillas’ trigonal construction.

Original languageEnglish (US)
Article number14
JournalResearch in Mathematical Sciences
Volume3
DOIs
StatePublished - Dec 1 2016

ASJC Scopus subject areas

  • Theoretical Computer Science
  • Mathematics (miscellaneous)
  • Computational Mathematics
  • Applied Mathematics

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