New calculations in Gromov-Witten theory

Details New calculations in Gromov-Witten theory New calculations in Gromov-Witten theory

2006-01-17

arxiv.org/abs/math/0601395v1

Mathematics

Algebraic Geometry

28 pages

Scientific paper

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.

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