A map is constructed from the moduli of hyper-Kahler tori to hyper-Kahler K3 surfaces which does not coincide with the Kummer map. The map takes a torus to the moduli space of SO(3) connections on a bundle with nontrivial first Stiefel-Whitney class and first Pontrjagin class equal to -4. This map is shown to intersect the Kummer moduli and also certain subvarieties of singular K3 surfaces. Our map is shown to satisfy the local Torelli theorem, and the K3-surfaces in its image are shown to carry a natural metric which is Calabi-Yau.
|Number of pages||33|
|Publication status||Published - May 1992|
- YANG-MILLS CONNECTIONS
- SELF-DUAL CONNECTIONS
- K3 SURFACES