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

• Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
• Άλλοι συγγραφείς: Laza, Radu (Επιμελητής έκδοσης), Schütt, Matthias (Επιμελητής έκδοσης), Yui, Noriko (Επιμελητής έκδοσης)
• Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
• Γλώσσα: English
• Έκδοση: New York, NY : Springer New York : Imprint: Springer, 2015.
• Έκδοση: 1st ed. 2015.
• Σειρά: Fields Institute Monographs, 34
• Θέματα: Mathematics.; Algebraic geometry.; Functions of complex variables.; Number theory.; Number Theory.; Algebraic Geometry.; Several Complex Variables and Analytic Spaces.

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...

Πίνακας περιεχομένων:

• 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).