TY - JOUR
T1 - Symmetries in generalized Kähler geometry
AU - Lin, Yi
AU - Tolman, Susan
N1 - We define the notion of a moment map and reduction in both generalized complex geometry and generalized Kähler geometry. As an application, we give very simple explicit constructions of bi-Hermitian s
PY - 2006/11
Y1 - 2006/11
N2 - We define the notion of a moment map and reduction in both generalized complex geometry and generalized Kähler geometry. As an application, we give very simple explicit constructions of bi-Hermitian structures on ℂdouble struck P signN, Hirzebruch surfaces, the blow up of ℂdouble struck P signN at arbitrarily many points, and other toric varieties, as well as complex Grassmannians.
AB - We define the notion of a moment map and reduction in both generalized complex geometry and generalized Kähler geometry. As an application, we give very simple explicit constructions of bi-Hermitian structures on ℂdouble struck P signN, Hirzebruch surfaces, the blow up of ℂdouble struck P signN at arbitrarily many points, and other toric varieties, as well as complex Grassmannians.
UR - https://www.scopus.com/pages/publications/33749359360
U2 - 10.1007/s00220-006-0096-z
DO - 10.1007/s00220-006-0096-z
M3 - Article
SN - 0010-3616
VL - 268
SP - 199
EP - 222
JO - Communications in Mathematical Physics
JF - Communications in Mathematical Physics
IS - 1
ER -