Monads for instantons and bows

Sergey A. Cherkis, Jacques Hurtubise

Research output: Contribution to journalArticlepeer-review

1 Scopus citations


Instantons on the Taub-NUT space are related to `bow solutions' via a generalization of the ADHM-Nahm transform. Both are related to complex geometry, either via the twistor transform or via the Kobayashi-Hitchin correspondence. We explore various aspects of this complex geometry, exhibiting equivalences. For both the instanton and the bow solution we produce two monads encoding each of them respectively. Identifying these monads we establish the one-to-one correspondence between the instanton and the bow solution.

Original languageEnglish (US)
Pages (from-to)167-251
Number of pages85
JournalAdvances in Theoretical and Mathematical Physics
Issue number1
StatePublished - 2019

ASJC Scopus subject areas

  • Mathematics(all)
  • Physics and Astronomy(all)


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