Curves in Calabi-yau Threefolds and Topological Quantum Field Theory

@inproceedings{Bryan2008CurvesIC,
  title={Curves in Calabi-yau Threefolds and Topological Quantum Field Theory},
  author={Jim Bryan and Rahul Pandharipande},
  year={2008}
}
We continue our study of the local Gromov-Witten invariants of curves in Calabi-Yau threefolds. We define relative invariants for the local theory which give rise to a 1+1-dimensional TQFT taking values in the ring Q[[t]]. The associated Frobenius algebra over Q[[t]] is semisimple. Consequently, we obtain a structure result for the local invariants. As an easy consequence of our structure formula, we recover the closed formulas for the local invariants in case either the target genus or the… CONTINUE READING