Algebra of Kodaira–Spencer gravity and deformation of Calabi–Yau manifold

DOI10.1142/S0129055X17500106zbMath1376.14044arXiv1611.03948OpenAlexW2965776209WikidataQ125882255 ScholiaQ125882255MaRDI QIDQ5348809

Kenji Mohri

Publication date: 21 August 2017

Published in: Reviews in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1611.03948

zbMATH Keywords

Calabi-Yau manifoldsdeformation of complex structuresdGBV-algebra

Mathematics Subject Classification ID

Calabi-Yau manifolds (algebro-geometric aspects) (14J32) Relationships between surfaces, higher-dimensional varieties, and physics (14J81) Moduli, classification: analytic theory; relations with modular forms (14J15) Deformations of complex structures (32G05) ``Super (or ``skew) structure (16W55)

Cites Work

• Special polynomial rings, quasi modular forms and duality of topological strings
• The Weil-Petersson geometry of the moduli space of SU(n\(\geq 3)\) (Calabi- Yau) manifolds. I
• Oriented open-closed string theory revisited
• Kodaira-Spencer theory of gravity and exact results for quantum string amplitudes
• Convergence of the normalized solution of the Maurer-Cartan equation in the Barannikov-Kontsevich construction.
• The topological B model as a twisted spinning particle
• Complex geometry. An introduction
• Complex manifolds and deformation of complex structures. Transl. from the Japanese by Kazuo Akao
• From Zwiebach invariants to Getzler relation
• THEORY OF KÄHLER GRAVITY
• Thickening Calabi-Yau moduli spaces
• Frobenius Manifolds and Formality of Lie Algebras of Polyvector Fields
• Kodaira-Spencer deformation of complex structures and Lagrangian field theory
• Connections on the state-space over conformal field theories
• Frobenius manifold structure on Dolbeault cohomology and mirror symmetry
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