Mathematics – Algebraic Geometry
Scientific paper
2003-06-22
Mathematics
Algebraic Geometry
Version to appear in Duke. Section 6 has been removed and incorporated into another paper
Scientific paper
We continue our study of the local Gromov-Witten invariants of curves in Calabi-Yau 3-folds. 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 degree equals 1.
Bryan Jim
Pandharipande Rahul
No associations
LandOfFree
Curves in Calabi-Yau 3-folds and Topological Quantum Field Theory does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Curves in Calabi-Yau 3-folds and Topological Quantum Field Theory, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Curves in Calabi-Yau 3-folds and Topological Quantum Field Theory will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-513711