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math.DG2022
Localization for CS manifolds and volume of homogeneous superspaces
Vera Serganova, Dmitry Vaintrob
We prove the Schwarz-Zaboronsky localization theorem for CS manifolds and use this to give a volume calculation for homogeneous superspaces for super-Lie groups that lack a real fo…
math.DG2003
On Einstein equations on manifolds and supermanifolds
D. Leites, E. Poletaeva, V. Serganova
The Einstein equations (EE) are certain conditions on the Riemann tensor on the real Minkowski space M. In the twistor picture, after complexification and compactification M become…