Behavior of branes under mirror symmetry in the moduli spaces of Higgs bundles
Studyng geometry of some Riemannian manifolds with a help of a computer
Geometric flows of G2-structures, and their Yang-Mills connections.
| Full text | |
| Author(s): |
Fowdar, Udhav
Total Authors: 1
|
| Document type: | Journal article |
| Source: | Communications in Mathematical Physics; v. 403, n. 1, p. 35-pg., 2023-08-09. |
| Abstract | |
We construct explicit examples of quaternion-Kahler and hypercomplex structures on bundles over hyperKahler manifolds. We study the infinitesimal symmetries of these examples and the associated Galicki-Lawson quaternion-Kahler moment map. By performing the QK reduction we produce several explicit QK metrics. Moreover we are led to a new proof of a hyperKahler/quaternion-Kahler type correspondence. We also give examples of other Einstein metrics and balanced Hermitian structures on these bundles. (AU) | |
| FAPESP's process: | 21/07249-0 - Symmetries in exceptional holonomy problems |
| Grantee: | Udhav Fowdar |
| Support Opportunities: | Scholarships in Brazil - Post-Doctoral |