Limiting metric conjecture for odd orthogonal Higgs bundles
Limiting metric conjecture for odd orthogonal Higgs bundles
Let be an -Higgs bundle for which the decoupled Hitchin equation has the solution constructed in Theorem.
Odd orthogonal limiting metric conjecture. The solutions to the decoupled Hitchin equation for constructed in Theorem are limiting metrics.
The claim is the odd orthogonal analogue of the preceding symplectic limiting-metric conjecture. The local models are related to -Higgs bundles and the kernel contribution, with approximation supplied by the cited local results; the global limiting assertion remains open in the source.
Sources & referencesView supporting material
Primary source
Johannes Horn, “sl(2)-type singular fibres of the symplectic and odd orthogonal Hitchin system”, arXiv:2011.02192 (2021).
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