Conformal limits and the Białynicki-Birula stratification of the space of \(\lambda\)-connections

DOI10.1016/j.aim.2019.04.034zbMath1416.58005arXiv1808.01622OpenAlexW2950877548MaRDI QIDQ2421267

Brian Collier, Richard A. Wentworth

Publication date: 14 June 2019

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1808.01622

zbMATH Keywords

conformal limitHiggs bundlesnonabelian Hodge

Mathematics Subject Classification ID

Moduli problems for differential geometric structures (58D27) Complex-analytic moduli problems (32G13) Algebraic moduli problems, moduli of vector bundles (14D20) Applications of vector bundles and moduli spaces in mathematical physics (twistor theory, instantons, quantum field theory) (14D21)

Related Items (13)

Very stable Higgs bundles, equivariant multiplicity and mirror symmetry ⋮ Simpson-Mochizuki correspondence for \(\lambda\)-flat bundles ⋮ Non-abelian Hodge theory and related topics ⋮ Harmonic maps for Hitchin representations ⋮ Generalized B-opers ⋮ Nilpotent Higgs bundles and families of flat connections ⋮ Generalized Deligne-Hitchin twistor spaces: construction and properties ⋮ Opers and Non-Abelian Hodge: Numerical Studies ⋮ \((G,P)\)-opers and global Slodowy slices ⋮ Stability conditions, cluster varieties, and Riemann-Hilbert problems from surfaces ⋮ Good wild harmonic bundles and good filtered Higgs bundles ⋮ Interplay between opers, quantum curves, WKB analysis, and Higgs bundles ⋮ Simpson filtration and oper stratum conjecture

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