A bijection is established between cyclic Higgs bundles on a curve and sheaves on a noncommutative surface constructed from the cyclic quiver path algebra.
Duke Math
4 Pith papers cite this work. Polarity classification is still indexing.
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Tropicalization of exact WKB formulae for NRS coordinates on the four-punctured sphere yields chamberwise agreement with Seiberg-Witten periods of SU(2) Nf=4 in unimodular primitive-symplectic chambers.
Extends classification of rank-2 co-Higgs bundles on Hopf surfaces to construct Poisson 3-folds and describe their symplectic leaves.
A comprehensive introduction to spectral networks that develops higher-rank Teichmüller theory in parallel with class S gauge theory and BPS spectra.
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Spectral correspondence for cyclic Higgs bundles
A bijection is established between cyclic Higgs bundles on a curve and sheaves on a noncommutative surface constructed from the cyclic quiver path algebra.
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Tropical WKB asymptotics of NRS coordinates for opers in $SU(2)$, $N_f=4$ theory
Tropicalization of exact WKB formulae for NRS coordinates on the four-punctured sphere yields chamberwise agreement with Seiberg-Witten periods of SU(2) Nf=4 in unimodular primitive-symplectic chambers.
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Poisson three-folds constructed from co-Higgs bundles on Hopf surfaces
Extends classification of rank-2 co-Higgs bundles on Hopf surfaces to construct Poisson 3-folds and describe their symplectic leaves.
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Spectral Networks: Bridging higher-rank Teichm\"uller theory and BPS states
A comprehensive introduction to spectral networks that develops higher-rank Teichmüller theory in parallel with class S gauge theory and BPS spectra.