An algebraic proof of the hyperplane property of the genus one   GW-invariants of quintics
  Li-Zinger's hyperplane theorem states that the genus one GW-invariants of the quintic threefold is the sum of its reduced genus one GW-invariants and 1/12 multiplies of its genus zero GW-invariants. We apply the Guffin-Sharpe-Witten's theory (GSW theory) to give an algebro-geometric proof of the hyperplane theorem, including separation of contributions and computation of 1/12. 
Huai-liang. Chang, Jun Li
math.AG math-ph math.MP