New calculations in Gromov-Witten theory
arXiv:math/0601395
Abstract
We use a topological framework to study descendent Gromov-Witten theory in higher genus, non-toric settings. Two geometries are considered: surfaces of general type and the Enriques Calabi-Yau threefold. We conjecture closed formulas for surfaces of general type in classes K and 2K. For the Enriques Calabi-Yau, Gromov-Witten invariants are calculated in genus 0, 1, and 2. In genus 2, the holomorphic anomaly equation is found.
arXiv comment28 pages
References in corpus (7)
- Quantum Cohomology and Virasoro Algebra
- Virasoro constraints and the Chern classes of the Hodge bundle
- Quantum Calabi-Yau and Classical Crystals
- Three questions in Gromov-Witten theory
- Orbifold Quantum Cohomology
- Quantum cohomology of the Hilbert scheme of points in the plane
- A topological view of Gromov-Witten theory