The Seiberg-Witten equations for multiple-spinors on $4-$manifolds with definite intersection forms

Minh Lam Nguyen

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arXiv · 2301.10245

The Seiberg-Witten equations for multiple-spinors on $4-$manifolds with definite intersection forms

Minh Lam Nguyen

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Abstract

In this note, we present a proof of Donaldson's Diagonalization Theorem via an abelian gauge-theoretic variant of the Seiberg-Witten equations for multiple spinors. Like the other proof of Donaldson's theorem using the standard Seiberg-Witten theory, Elkies' theorem also plays a key role in our argument.

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Minh Lam Nguyen. 2023-01-23. The Seiberg-Witten equations for multiple-spinors on $4-$manifolds with definite intersection forms. https://arxiv.org/abs/2301.10245

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