𝔖 Bobbio Scriptorium
✦   LIBER   ✦

A hyperkähler Fourier transform

✍ Scribed by C. Bartocci; U. Bruzzo; D.Hernández Ruipérez

Publisher
Elsevier Science
Year
1998
Tongue
English
Weight
788 KB
Volume
8
Category
Article
ISSN
0926-2245

No coin nor oath required. For personal study only.

✦ Synopsis

Given two hyperklhler manifolds X and Y and a quaternionic instanton on X x Y, one can define a Fourier-Mukai transform, which maps quaternionic instantons on X to quaternionic instantons on Y. This construction encompasses the cases of two-dimensional algebraic tori and K3 surfaces already treated elsewhere. We also sketch some higher dimensional examples.

📜 SIMILAR VOLUMES

Hyperkähler metrics of cohomogeneity one
Hyperkähler metrics of cohomogeneity one
✍ Andrew Dancer; Andrew Swann 📂 Article 📅 1997 🏛 Elsevier Science 🌐 English ⚖ 596 KB

Irreducible hyperk~ihler manifolds of dimension greater than four admitting a cohomogeneityone action of a compact simple Lie group are classified via coadjoint orbits. It is shown that the only complete example is the Calabi metric on T\*CP(n).