Introduction to Duality
Amit Giveon, Martin Rocek
TL;DR
This paper explores the concept of duality between different geometries through the lens of classical and quantum harmonic map problems, providing insights into geometric relationships in mathematical physics.
Contribution
It introduces a novel perspective on geometric duality by connecting classical and quantum harmonic maps, enriching the understanding of mirror symmetry.
Findings
Establishes a duality framework between geometries.
Links classical and quantum harmonic maps.
Provides mathematical insights into mirror symmetry.
Abstract
We describe the duality between different geometries which arises by considering the classical and quantum harmonic map problem. To appear in ``Essays on Mirror Manifolds II''.
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Taxonomy
TopicsMathematics and Applications · Advanced Topics in Algebra