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

(cont’d)
Briefly, the (long exact) Koszul resolution factors into
a sequence of short exact sequences of the form
0 −→ S i −→ Λ i Z ⊗ Sym 2d+2e+2−i W −→ S i−1 −→ 0
and the coboundary maps δ : H i (S i ) −→ H i+1 (S i+1 )
factor the map determining the correlation functions:
H 0 ( Sym 2d+2e+2 W ⊗ O M
)
→ H 1 (S 1 ) δ → H 2 (S 2 ) δ →
· · ·
δ
→ H 2d+2e+1 (S 2d+2e+1 ) → δ H 2d+2e+2 ( Λ top F ∗)
So, to evaluate corr’ f’n, compute coboundary maps.
(cont’d)