The perturbation of the Seiberg-Witten equations revisited
Mikio Furuta, Shinichiroh Matsuo

TL;DR
This paper introduces a new class of perturbations to the Seiberg-Witten equations, enhancing the construction of invariants and providing fresh insights into curvature inequalities.
Contribution
It presents novel perturbations of the Seiberg-Witten equations that improve invariant construction and offer new perspectives on curvature inequalities.
Findings
New class of perturbations introduced
Enhanced methods for Seiberg-Witten invariant construction
Insights into LeBrun's curvature inequalities
Abstract
We introduce a new class of perturbations of the Seiberg-Witten equations. Our perturbations offer flexibility in the way the Seiberg-Witten invariants are constructed and also shed a new light to LeBrun's curvature inequalities.
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Taxonomy
TopicsGeometric Analysis and Curvature Flows · Geometric and Algebraic Topology · Geometry and complex manifolds
