Topological mirror symmetry for parabolic Higgs bundles

DOI10.1016/j.geomphys.2018.08.020zbMath1412.14025arXiv1707.08536OpenAlexW2738163681WikidataQ128836931 ScholiaQ128836931MaRDI QIDQ2633466

Peter B. Gothen, André G. Oliveira

Publication date: 8 May 2019

Published in: Journal of Geometry and Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1707.08536

zbMATH Keywords

mirror symmetryparabolic structuresHiggs bundlesE-polynomials

Mathematics Subject Classification ID

Jacobians, Prym varieties (14H40) Relationships between algebraic curves and integrable systems (14H70) Vector bundles on curves and their moduli (14H60)

Related Items (10)

Monodromy of rank 2 parabolic Hitchin systems ⋮ Geometric models and variation of weights on moduli of parabolic Higgs bundles over the Riemann sphere: a case study ⋮ Intersection cohomology of character varieties for punctured Riemann surfaces ⋮ Poincaré polynomials of character varieties, Macdonald polynomials and affine Springer fibers ⋮ Mirror symmetry for parabolic Higgs bundles via \(p\)-adic integration ⋮ Brauer group of moduli stack of stable parabolic PGL(r)-bundles over a curve ⋮ Unramified covers and branes on the Hitchin system ⋮ Serre polynomials of \(\mathrm{SL}_n\)- and \(\mathrm{PGL}_n\)-character varieties of free groups ⋮ Aspects of the topology and combinatorics of Higgs bundle moduli spaces ⋮ Mirror symmetry for moduli spaces of Higgs bundles via \(p\)-adic integration

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• SYZ duality for parabolic Higgs moduli spaces
• Langlands duality for Hitchin systems
• Stable bundles and integrable systems
• Parabolic Higgs bundles and representations of the fundamental group of a punctured surface into a real group
• Cohomology of the moduli of parabolic vector bundles
• Lie groups and Teichmüller space
• Construction of the moduli space of stable parabolic Higgs bundles on a Riemann surface
• Compactification of moduli of parabolic sheaves and moduli of parabolic Higgs sheaves
• Mirror symmetry, Langlands duality, and the Hitchin system
• Poincaré polynomial of the moduli spaces of parabolic bundles
• Torelli theorem for the parabolic Deligne-Hitchin moduli space
• Moduli of representations of the fundamental group of a smooth projective variety. II
• A new cohomology theory of orbifold
• Strong McKay correspondence, string-theoretic Hodge numbers and mirror symmetry
• Mirror symmetry is \(T\)-duality
• On quasi algebraic closure
• Stringy Hodge numbers of varieties with Gorenstein canonical singularities
• Examples of mirror partners arising from integrable systems
• Cohomology of large semiprojective hyperkaehler varieties
• Moduli of parabolic Higgs bundles and Atiyah algebroids
• A Torelli theorem for the moduli space of parabolic Higgs bundles
• Harmonic Bundles on Noncompact Curves
• Betti numbers of the moduli space of rank 3 parabolic Higgs bundles
• The Self-Duality Equations on a Riemann Surface
• An Infinitesimal Study of the Moduli of Hitchin Pairs
• THE BETTI NUMBERS OF THE MODULI SPACE OF STABLE RANK 3 HIGGS BUNDLES ON A RIEMANN SURFACE
• INFINITESIMAL DEFORMATION OF PARABOLIC HIGGS SHEAVES
• Variation of moduli of parabolic Higgs bundles
• The Yang-Mills equations over Riemann surfaces
• Symplectic geometry on moduli spaces of stable pairs
• Orbifold Riemann Surfaces and the Yang-Mills-Higgs Equations
• Theta characteristics of an algebraic curve
• MODULI SPACES OF PARABOLIC HIGGS BUNDLES AND PARABOLIC K(D) PAIRS OVER SMOOTH CURVES: I

This page was built for publication: Topological mirror symmetry for parabolic Higgs bundles