Proves existence of multi-monopoles on mapping tori via adiabatic limits and monodromy fixed-point perturbations, giving first explicit constructions on non-product 3-manifolds in multiple chambers.
A Direct Existence Proof for the Vortex Equations Over a Compact
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2026 1verdicts
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Existence of multi-monopoles on mapping tori
Proves existence of multi-monopoles on mapping tori via adiabatic limits and monodromy fixed-point perturbations, giving first explicit constructions on non-product 3-manifolds in multiple chambers.