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

Calabi-Yau Varieties: Arithmetic, Geometry and Physics Lecture Notes on Concentrated Graduate Courses / edited by Radu Laza, Matthias Schütt, Noriko Yui.

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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Bibliographic Details
Corporate Author: SpringerLink (Online service)
Other Authors: Laza, Radu (Editor), Schütt, Matthias (Editor), Yui, Noriko (Editor)
Format: eBook
Language:English
Published: New York, NY : Springer New York : Imprint: Springer, 2015.
Edition:1st ed. 2015.
Series:Fields Institute Monographs, 34
Springer eBook Collection.
Subjects:
Number theory.
Algebraic geometry.
Functions of complex variables.
Electronic resources (E-books)
Online Access:Click to view e-book
Holy Cross Note:Loaded electronically.
Electronic access restricted to members of the Holy Cross Community.
Table of Contents:
  • 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).

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