An Introduction to Quantum Sheaf Cohomology - Physics - Virginia ...

Witten equ’n in A-twist:
BRST: δψ i − = −α ( ∂φ i − ig ij ∂ j W )
implies localization on sol’ns of
∂φ i − ig ij ∂ j W = 0
(``Witten equ’n’’)
On complex Kahler mflds, there are 2 independent
BRST operators:
δψ i −
= −α +∂φ i + α − ig ij ∂ j W
which implies localization on sol’ns of
∂φ i = 0
g ij ∂ j W = 0
which is what
we’re using.