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Calabi-Yau Varieties: Arithmetic, Geometry and Physics Lecture Notes on Concentrated Graduate Courses /

This volume presents a lively introduction to the rapidly developing and vast research areas surrounding Calabi-Yau varieties and string theory. With its coverage of the various perspectives of a wide area of topics such as Hodge theory, Gross-Siebert program, moduli problems, toric approach, and ar...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor Corporativo: SpringerLink (Online service)
Otros Autores: Laza, Radu (Editor ), Schütt, Matthias (Editor ), Yui, Noriko (Editor )
Formato: Electrónico eBook
Idioma:Inglés
Publicado: New York, NY : Springer New York : Imprint: Springer, 2015.
Edición:1st ed. 2015.
Colección:Fields Institute Monographs, 34
Temas:
Acceso en línea:Texto Completo
Tabla de Contenidos:
  • The Geometry and Moduli of K3 Surfaces (A. Harder, A. Thompson)
  • Picard Ranks of K3 Surfaces of BHK Type (T. Kelly)
  • Reflexive Polytopes and Lattice-Polarized K3 Surfaces (U. Whitcher)
  • An Introduction to Hodge Theory (S.A. Filippini, H. Ruddat, A. Thompson)
  • Introduction to Nonabelian Hodge Theory (A. Garcia-Raboso, S. Rayan)
  • Algebraic and Arithmetic Properties of Period Maps (M. Kerr)
  • Mirror Symmetry in Physics (C. Quigley)
  • Introduction to Gromov-Witten Theory (S. Rose).- Introduction to Donaldson-Thomas and Stable Pair Invariants (M. van Garrel).- Donaldson-Thomas Invariants and Wall-Crossing Formulas (Y. Zhu).- Enumerative Aspects of the Gross-Siebert Program (M. van Garrel, D.P. Overholser, H. Ruddat).- Introduction to Modular Forms (S. Rose).- Lectures on Holomorphic Anomaly Equations (A. Kanazawa, J. Zhou)
  • Polynomial Structure of Topological Partition Functions (J. Zhou).- Introduction to Arithmetic Mirror Symmetry (A. Perunicic).