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Non-Abelian Hodge Theory and Related Topics
- Source :
- SIGMA, SIGMA, 2020, 16, pp.029. ⟨10.3842/SIGMA.2020.029⟩
- Publication Year :
- 2019
-
Abstract
- International audience; This paper is a survey aimed on the introduction of non-Abelian Hodge theory that gives the correspondence between flat bundles and Higgs bundles. We will also introduce some topics arising from this theory, especially some recent developments on the study of the relevant moduli spaces together with some interesting open problems.
- Subjects :
- Pure mathematics
[PHYS.MPHY]Physics [physics]/Mathematical Physics [math-ph]
01 natural sciences
Stratification (mathematics)
oper
Mathematics - Algebraic Geometry
stratification
Mathematics::Algebraic Geometry
0103 physical sciences
FOS: Mathematics
conformal limit
0101 mathematics
Abelian group
Algebraic Geometry (math.AG)
Mathematics::Symplectic Geometry
Mathematical Physics
Mathematics
Hodge theory
010102 general mathematics
Hitchin section
Moduli space
twistor space
non-Abelian Hodge theory
14D20, 14D21, 32G20, 53C07, 57N80
Higgs boson
moduli space
$\lambda$-connection
Twistor space
010307 mathematical physics
Geometry and Topology
Analysis
Subjects
Details
- Language :
- English
- Database :
- OpenAIRE
- Journal :
- SIGMA, SIGMA, 2020, 16, pp.029. ⟨10.3842/SIGMA.2020.029⟩
- Accession number :
- edsair.doi.dedup.....f88f39e61c5e151ea6c7dee84df7be84