Very stable Higgs bundles, equivariant multiplicity and mirror symmetry

DOI10.1007/s00222-021-01093-7zbMath1497.14022arXiv2101.08583OpenAlexW3124875306MaRDI QIDQ2131232

Tamás Hausel, Nigel J. Hitchin

Publication date: 25 April 2022

Published in: Inventiones Mathematicae (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2101.08583

zbMATH Keywords

mirror symmetryFourier-Mukai transformHecke transformationdownward flowBialynicki-Birula partitioncominuscule Higgs bundleupward flowvery stable Higgs bundle

Mathematics Subject Classification ID

Complex-analytic moduli problems (32G13) Algebraic moduli problems, moduli of vector bundles (14D20) Vector bundles on curves and their moduli (14H60) Applications of vector bundles and moduli spaces in mathematical physics (twistor theory, instantons, quantum field theory) (14D21) Mirror symmetry (algebro-geometric aspects) (14J33)

Related Items

Mathematics at the Institute of Science and Technology Austria (ISTA), Nilpotent Higgs bundles and families of flat connections, Branes on the singular locus of the Hitchin system via Borel and other parabolic subgroups, Mini-workshop: Quantization of complex symplectic varieties. Abstracts from the mini-workshop held October 2--8, 2022, Generalized Deligne-Hitchin twistor spaces: construction and properties

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