[en] I will do a small introduction to Berezin-Toeplitz quantization. Afterwards, I will introduce K3 surfaces, which (under some regularity conditions) admit three different BT quantizations, and I will explain some relations between them. As we will see, the associated quantum line bundles are not isomorphic, but their spaces of holomorphic sections have the same dimension and there exist some canonical relations between them.
Disciplines :
Mathématiques
Auteur, co-auteur :
CASTEJON-DIAZ, Hector ; University of Luxembourg > Faculty of Science, Technology and Communication (FSTC) > Mathematics Research Unit