pith. sign in

arxiv: 1610.07163 · v1 · pith:FBPYNDADnew · submitted 2016-10-23 · 🧮 math.DG · math.GT

On the behavior of sequences of solutions to U(1) Seiberg-Witten systems in dimension 4

Clifford Henry Taubes This is my paper
classification 🧮 math.DG math.GT
keywords behaviorbundlecliffordequationsmanifoldmoduleseiberg-wittensequences
0
0 comments X
read the original abstract

This paper studies the behavior of sequences of solutions to Seiberg-Witten like equations for a pair consisting of a Hermitian connection on a line bundle over a 4-dimensional manifold and a section of the self-dual spinor bundle of a complex Clifford module on the manifold. Examples include the cases where the Clifford module is a direct sum of C2 bundles associated to SpinC structures; and the case of the SU(2) Vafa-Witten equations with an Abelian ansatz.

This paper has not been read by Pith yet.

discussion (0)

Sign in with ORCID, Apple, or X to comment. Anyone can read and Pith papers without signing in.

Forward citations

Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score.

  1. Gluing $\mathbb Z_2$-Harmonic Spinors and Seiberg-Witten Monopoles on 3-Manifolds

    math.DG 2024-02 unverdicted novelty 7.0

    Constructs 1-parameter families of two-spinor Seiberg-Witten monopoles converging to generic Z2-harmonic spinors via gluing with a generalized alternating method to cancel infinite-dimensional obstructions.

  2. Homogeneous $\mathbb Z/2$-Harmonic Forms and Spinors on $\mathbb{R}^4$ from Regular 4-Polytopes

    math.DG 2026-04 unverdicted novelty 6.0

    Novel homogeneous singularity models for Z/2-harmonic forms and spinors on R^4 are built as cones on the 1-skeleta of regular 4-polytopes.