Geodesic
Quiver varieties and the~quantum Knizhnik--Zamolodchikov equation
Teoretičeskaâ i matematičeskaâ fizika, Tome 185 (2015) no. 3, pp. 438-459

Voir la notice de l'article provenant de la source Math-Net.Ru

We show how equivariant volumes of tensor product quiver varieties of type A are given by matrix elements of vertex operators of centrally extended doubles of Yangians and how these elements satisfy the rational level-one quantum Knizhnik–Zamolodchikov equation in some cases.
Keywords: quiver variety, quantum Knizhnik–Zamolodchikov equation, quantum integrable system, equivariant cohomology. 
@article{TMF_2015_185_3_a3,
     author = {P. Zinn-Justin},
     title = {Quiver varieties and the~quantum {Knizhnik--Zamolodchikov} equation},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {438--459},
     publisher = {mathdoc},
     volume = {185},
     number = {3},
     year = {2015},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_2015_185_3_a3/}
}
TY  - JOUR
AU  - P. Zinn-Justin
TI  - Quiver varieties and the~quantum Knizhnik--Zamolodchikov equation
JO  - Teoretičeskaâ i matematičeskaâ fizika
PY  - 2015
SP  - 438
EP  - 459
VL  - 185
IS  - 3
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/TMF_2015_185_3_a3/
LA  - ru
ID  - TMF_2015_185_3_a3
ER  - 
%0 Journal Article
%A P. Zinn-Justin
%T Quiver varieties and the~quantum Knizhnik--Zamolodchikov equation
%J Teoretičeskaâ i matematičeskaâ fizika
%D 2015
%P 438-459
%V 185
%N 3
%I mathdoc
%U http://geodesic.mathdoc.fr/item/TMF_2015_185_3_a3/
%G ru
%F TMF_2015_185_3_a3
P. Zinn-Justin. Quiver varieties and the~quantum Knizhnik--Zamolodchikov equation. Teoretičeskaâ i matematičeskaâ fizika, Tome 185 (2015) no. 3, pp. 438-459. http://geodesic.mathdoc.fr/item/TMF_2015_185_3_a3/