Frobenius Manifolds from Yang-Mills Instantons
Jan Segert
TL;DR
This paper introduces a new class of explicit three-dimensional Frobenius manifolds constructed from symmetric Yang-Mills instantons, providing an elementary and self-contained account of their structure.
Contribution
It presents a novel family of explicit Frobenius manifolds derived from Yang-Mills instantons with symmetry, expanding the known examples in the field.
Findings
New explicit examples of Frobenius manifolds in three dimensions
Construction method from symmetric Yang-Mills instantons
Elementary self-contained presentation
Abstract
We present an elementary self-contained account of semisimple Frobenius manifolds in three dimensions, and exhibit a new family of explicit examples. These examples are constructed from Yang-Mills instantons with a certain symmetry.
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Taxonomy
TopicsAdvanced Algebra and Geometry · Algebraic Geometry and Number Theory · Algebraic and Geometric Analysis