Geodesic
BEREZIN–TOEPLITZ QUANTIZATION, HYPERKÄHLER MANIFOLDS, AND MULTISYMPLECTIC MANIFOLDS
Glasgow mathematical journal, Tome 59 (2017) no. 1, pp. 167-187

Voir la notice de l'article provenant de la source Cambridge

DOI

We suggest a way to quantize, using Berezin–Toeplitz quantization, a compact hyperkähler manifold (equipped with a natural 3-plectic form), or a compact integral Kähler manifold of complex dimension n regarded as a (2n−1)-plectic manifold. We show that quantization has reasonable semiclassical properties. 
BARRON, TATYANA; SERAJELAHI, BARAN. BEREZIN–TOEPLITZ QUANTIZATION, HYPERKÄHLER MANIFOLDS, AND MULTISYMPLECTIC MANIFOLDS. Glasgow mathematical journal, Tome 59 (2017) no. 1, pp. 167-187. doi: 10.1017/S0017089516000100
@article{10_1017_S0017089516000100,
     author = {BARRON, TATYANA and SERAJELAHI, BARAN},
     title = {BEREZIN{\textendash}TOEPLITZ {QUANTIZATION,} {HYPERK\"AHLER} {MANIFOLDS,} {AND} {MULTISYMPLECTIC} {MANIFOLDS}},
     journal = {Glasgow mathematical journal},
     pages = {167--187},
     year = {2017},
     volume = {59},
     number = {1},
     doi = {10.1017/S0017089516000100},
     url = {http://geodesic.mathdoc.fr/articles/10.1017/S0017089516000100/}
}
TY  - JOUR
AU  - BARRON, TATYANA
AU  - SERAJELAHI, BARAN
TI  - BEREZIN–TOEPLITZ QUANTIZATION, HYPERKÄHLER MANIFOLDS, AND MULTISYMPLECTIC MANIFOLDS
JO  - Glasgow mathematical journal
PY  - 2017
SP  - 167
EP  - 187
VL  - 59
IS  - 1
UR  - http://geodesic.mathdoc.fr/articles/10.1017/S0017089516000100/
DO  - 10.1017/S0017089516000100
ID  - 10_1017_S0017089516000100
ER  - 
%0 Journal Article
%A BARRON, TATYANA
%A SERAJELAHI, BARAN
%T BEREZIN–TOEPLITZ QUANTIZATION, HYPERKÄHLER MANIFOLDS, AND MULTISYMPLECTIC MANIFOLDS
%J Glasgow mathematical journal
%D 2017
%P 167-187
%V 59
%N 1
%U http://geodesic.mathdoc.fr/articles/10.1017/S0017089516000100/
%R 10.1017/S0017089516000100
%F 10_1017_S0017089516000100

Cité par Sources :