Monads for Instantons and Bows

Autor: Cherkis, Sergey A., Hurtubise, Jacques
Rok vydání: 2017
Předmět:
Zdroj: ATMP 23, no. 1, pp. 167-251, 2019
Druh dokumentu: Working Paper
Popis: 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.
Comment: 85 pages, 3 figures, minor corrections
Databáze: arXiv