\(tt^*\)-geometry and pluriharmonic maps

DOI10.1007/s10455-005-7947-2zbMath1082.58011OpenAlexW1963728022MaRDI QIDQ2576748

Lars Schäfer

Publication date: 14 December 2005

Published in: Annals of Global Analysis and Geometry (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/228964

zbMATH Keywords

pluriharmonic mapspseudo-Riemannian symmetric spaces

Mathematics Subject Classification ID

Global differential geometry of Hermitian and Kählerian manifolds (53C55) Moduli problems for differential geometric structures (58D27) Topological field theories in quantum mechanics (81T45) Period matrices, variation of Hodge structure; degenerations (32G20) Pluriharmonic and plurisubharmonic functions (31C10) Variation of Hodge structures (algebro-geometric aspects) (14D07)

Related Items (9)

Unnamed Item ⋮ Isoparametric surfaces and the \(\mathrm{tt}^\ast\)-equations ⋮ Para-\(tt^*\)-bundles on the tangent bundle of an almost para-complex manifold ⋮ \(tt^{*}\)-geometry on the tangent bundle of an almost complex manifold ⋮ A \(tt^*\)-bundle associated with a harmonic map from a Riemann surface into a sphere ⋮ Real holomorphic sections of the Deligne-Hitchin twistor space ⋮ A note on \(tt^{*}\)-bundles over compact nearly Kähler manifolds ⋮ Harmonic bundle solutions of topological-antitopological fusion in para-complex geometry ⋮ Integrability of generalized pluriharmonic maps

Cites Work

• Topological--anti-topological fusion.
• Higgs bundles and local systems
• Special complex manifolds
• Geometry and integrability of topological-antitopological fusion
• \(tt^*\)-bundles in para-complex geometry, special para-Kähler manifolds and para-pluriharmonic maps
• Applications of harmonic maps to Kähler geometry
• tt* geometry, Frobenius manifolds, their connections, and the construction for singularities
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