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

Example, cont’d ∫ ∫ ∏
〈O 1 · · · O n 〉 = d 2 φ i
P 4 i
Limits:
1) λ → 0
dχ i dχ ı dχ p dχ p O 1 · · · O n
· exp
(−λ 2 |s| 2 − λχ i χ p D i s − λχ p χ ı D ı s − R ippk
χ i χ p χ p χ k)
Exponential reduces to purely curvature terms;
bring down enough factors to each up χ p zero modes.
Equiv to, inserting Euler class.
2)
λ → ∞
Localizes on {s = 0} ⊂ P 4
Equivalent results,
either way.