Three questions in Gromov-Witten theory
R. Pandharipande
TL;DR
This paper discusses three open conjectural directions in Gromov-Witten theory—Gorenstein properties, BPS states, and Virasoro constraints—highlighting fundamental structures that remain poorly understood.
Contribution
It introduces three key conjectural directions in Gromov-Witten theory, emphasizing their importance and the gaps in current understanding.
Findings
Identifies Gorenstein properties as a fundamental aspect.
Highlights the significance of BPS states in the theory.
Discusses Virasoro constraints as a central unresolved issue.
Abstract
This article accompanies my ICM talk in August 2002. Three conjectural directions in Gromov-Witten theory are discussed: Gorenstein properties, BPS states, and Virasoro constraints. Each points to basic structures in the subject which are not yet understood.
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Taxonomy
TopicsGeometric and Algebraic Topology · Algebraic Geometry and Number Theory · Homotopy and Cohomology in Algebraic Topology