TL;DR
This paper provides an informal introduction to Gromov-Witten theory, focusing on counting curves in surfaces, aimed at graduate students and emphasizing its mathematical and physical significance.
Contribution
It offers an accessible overview of Gromov-Witten theory tailored for beginners, highlighting its applications in algebraic geometry and physics.
Findings
Introduces fundamental concepts of Gromov-Witten invariants
Explains the role of Gromov-Witten theory in enumerative geometry
Connects Gromov-Witten theory to Calabi-Yau varieties and physics
Abstract
The goal of these notes is to provide an informal introduction to Gromov-Witten theory with an emphasis on its role in counting curves in surfaces. These notes are based on a talk given at the Fields Institute during a week-long conference aimed at introducing graduate students to the subject which took place during the thematic program on Calabi-Yau Varieties: Arithmetic, Geometry, and Physics.
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Taxonomy
TopicsAlgebraic Geometry and Number Theory · French Historical and Cultural Studies · Geometric and Algebraic Topology