The $\mathbb{R}$ invariant solutions to the Kapustin Witten equations on $(0,\infty) \times \mathbb{R}^2 \times \mathbb{R}$ with generalized Nahm pole asymptotics

Clifford Henry Taubes

The $\mathbb{R}$ invariant solutions to the Kapustin Witten equations on $(0,\infty) \times \mathbb{R}^2 \times \mathbb{R}$ with generalized Nahm pole asymptotics

Differential Geometry 2020-09-01 v2 Mathematical Physics Geometric Topology math.MP

Authors: Clifford Henry Taubes

Abstract

This paper supplies a new characterization of the Kapustin Witten equation solutions on $(0,\infty) \times \mathbb{R}^2 \times \mathbb{R}$ that play a key role in Edward Witten's program to obtain the Jones polynomial knot invariants using solutions to the same equation on $(0,\infty) \times S^3$ .

Keywords

kapustin-witten equations invariant solutions nahm pole jones polynomial riemannian manifold

Cite

@article{arxiv.1903.03539,
  title  = {The $\mathbb{R}$ invariant solutions to the Kapustin Witten equations on $(0,\infty) \times \mathbb{R}^2 \times \mathbb{R}$ with generalized Nahm pole asymptotics},
  author = {Clifford Henry Taubes},
  journal= {arXiv preprint arXiv:1903.03539},
  year   = {2020}
}

Comments

Typos corrected

The $\mathbb{R}$ invariant solutions to the Kapustin Witten equations on $(0,\infty) \times \mathbb{R}^2 \times \mathbb{R}$ with generalized Nahm pole asymptotics

Abstract

Keywords

Cite

Comments

Related papers