New calculations in Gromov-Witten theory
Algebraic Geometry
2007-05-23 v1 High Energy Physics - Theory
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.
Cite
@article{arxiv.math/0601395,
title = {New calculations in Gromov-Witten theory},
author = {D. Maulik and R. Pandharipande},
journal= {arXiv preprint arXiv:math/0601395},
year = {2007}
}
Comments
28 pages