Three questions in Gromov-Witten theory

2003/02/07 by R. Pandharipande, Pandharipande, R. · 2 citations
Mathematics · #Algebraic Geometry (math.AG) #FOS: Mathematics #math.AG

paper · pdf · doi:10.48550/arxiv.math/0302077

10 pages

arxiv created 2003/02/07 · arxiv updated 2009/11/30

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.

Cited by

• Refined floor diagrams relative to a conic and Caporaso-Harris type formula
• GW/DT invariants and 5D BPS indices for strips from topological recursion

Related

• Notes on axiomatic Gromov--Witten theory and applications
• Introduction to Gromov-Witten Theory
• A topological view of Gromov-Witten theory
• Brief Resume of Seiberg-Witten Theory
• Seiberg-Witten Theories, Integrable Models and Perturbative Prepotentials