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...
| Other Authors: | , , |
|---|---|
| Format: | eBook |
| Language: | English |
| Published: |
New York, NY
Springer New York
2015, 2015
|
| Edition: | 1st ed. 2015 |
| Series: | Fields Institute Monographs
|
| Subjects: | |
| Online Access: | |
| Collection: | Springer eBooks 2005- - Collection details see MPG.ReNa |
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)