The Yang-Mills heat equation on three-manifolds with boundary
Nelia Charalambous
TL;DR
This paper provides an overview of the work on the Yang-Mills heat equation on three-manifolds with boundary, highlighting key mathematical insights and developments.
Contribution
It offers an expository account of existing research by Gross and the author on this specific geometric PDE.
Findings
Clarifies the mathematical structure of the Yang-Mills heat equation
Summarizes key results from Gross and the author's work
Highlights challenges and open questions in the boundary setting
Abstract
In this short note we provide an expository account of the work of Leonard Gross and the author on the Yang-Mills heat equation over smooth three-manifolds with boundary.
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Taxonomy
TopicsGeometric and Algebraic Topology · Geometric Analysis and Curvature Flows · Advanced Operator Algebra Research