Lectures on the linearized Kapustin-Witten equations on (0,\∞)\n \× Y

2020/08/21 by Clifford Henry Taubes, Taubes, Clifford Henry
Computer Science · Mathematics · #53C07 #Advanced Mathematical Modeling in Engineering #Advanced Operator Algebra Research #Differential Geometry (math.DG) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Geometric and Algebraic Topology #Nonlinear Partial Differential Equations

paper · pdf · doi:10.48550/arxiv.2008.09538

openalex publication_date 2020/08/21 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

This is a written version of lectures that I would have given myself about\naspects of the differential operator that is obtained from the linearized\nKapustin-Witten equations on the product of the half-line with a compact,\noriented, Riemannian 3-manifold. These lectures concern for the most part\ncertain instances of much more general theorems of R. Mazzeo and E. Witten.\nThere is also a 'lecture series' about the asymptotics of solutions to the same\nKapustin-Witten equations as the half-line parameter limits to infinity.\n

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