Eisenstein type series for Calabi-Yau varieties

DOI10.1016/j.nuclphysb.2011.01.028zbMath1208.81223arXiv1007.4181OpenAlexW1993783520MaRDI QIDQ632448

Hossein Movasati

Publication date: 24 March 2011

Published in: Nuclear Physics. B (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1007.4181

zbMATH Keywords

Hodge filtrationYukawa couplingGauss-Manin connectionGriffiths transversality

Mathematics Subject Classification ID

Unified quantum theories (81V22) Calabi-Yau manifolds (algebro-geometric aspects) (14J32) Gromov-Witten invariants, quantum cohomology, Gopakumar-Vafa invariants, Donaldson-Thomas invariants (algebro-geometric aspects) (14N35) Yang-Mills and other gauge theories in quantum field theory (81T13) Period matrices, variation of Hodge structure; degenerations (32G20) Moduli, classification: analytic theory; relations with modular forms (14J15)

Related Items

Algebraic structure of \(t\,t{*}\) equations for Calabi-Yau sigma models, Gauss-Manin connection in disguise: Calabi-Yau threefolds, Polynomial Structure of Topological String Partition Functions, Quasi-modular Forms Attached to Hodge Structures, Quasi-modular forms attached to elliptic curves. I, Modular-type functions attached to mirror quintic Calabi-Yau varieties, Quasi-modular forms attached to elliptic curves: Hecke operators, Darboux-Halphen-Ramanujan vector field on a moduli of Calabi-Yau manifolds

Uses Software

• SINGULAR

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Lattice polarized \(K3\) surfaces and Siegel modular forms
• Integrality of instanton numbers and \(p\)-adic B-model
• On differential modular forms and some analytic relations between Eisenstein series
• On the integrality of the Taylor coefficients of mirror maps
• A pair of Calabi-Yau manifolds as an exactly soluble superconformal theory.
• On elliptic modular foliations
• Topological strings and (almost) modular forms
• Topological gravity as large \(N\) topological gauge theory
• Monstrous moonshine and monstrous Lie superalgebras
• Modular elliptic curves and Fermat's Last Theorem
• On the differentiation of De Rham cohomology classes with respect to parameters
• On the modularity of elliptic curves over 𝐐: Wild 3-adic exercises
• BCOV ring and holomorphic anomaly equation
• Curves on generic hypersurfaces
• Subgroups of Algebraic Groups Containing Regular Unipotent Elements
• Homological Algebra of Mirror Symmetry
• Toward Clemens' Conjecture in degrees between 10 and 24
• Periods of integrals on algebraic manifolds: Summary of main results and discussion of open problems