The ℝ invariant solutions to the Kapustin Witten equations on (0,∞) × ℝ² × ℝ with generalized Nahm pole asymptotics

2019/03/08 by Clifford Henry Taubes, Taubes, Clifford Henry · 1 citation
Mathematics · #53C07 #57R57 #Advanced Combinatorial Mathematics #Algebraic Geometry and Number Theory #Differential Geometry (math.DG) #FOS: Mathematics #FOS: Physical sciences #Geometric Topology (math.GT) #Geometric and Algebraic Topology #Mathematical Physics (math-ph)

paper · pdf · doi:10.48550/arxiv.1903.03539

openalex publication_date 2019/03/08 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

This paper supplies a new characterization of the Kapustin Witten equation solutions on (0,∞) × ℝ² × ℝ that play a key role in Edward Witten's program to obtain the Jones polynomial knot invariants using solutions to the same equation on (0,∞) × S³.

Cited by

• The existence of instanton solutions to the ℝ-invariant Kapustin-Witten equations on (0,∞)× ℝ²× ℝ

Related

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• Classification of Nahm pole solutions of the Kapustin-Witten equations on S¹× Σ× ℝ⁺
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• Rotationally Invariant Singular Solutions to the Kapustin-Witten Equations
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