Overview
- Fills a gap in the existing literature, presenting a friendly yet comprehensive introduction of the subject matter
- Covers diverse streams of current research
- Provides quick exposure to rapidly developing subjects
Part of the book series: Fields Institute Monographs (FIM, volume 34)
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Table of contents (15 chapters)
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K3 Surfaces: Arithmetic, Geometry and Moduli
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Hodge Theory and Transcendental Theory
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Physics of Mirror Symmetry
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Enumerative Geometry: Gromov–Witten and Related Invariants
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Gross–Siebert Program
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Modular Forms in String Theory
Keywords
About this book
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 arithmetic aspects, the book gives a comprehensive overview of the current streams of mathematical research in the area.
The contributions in this book are based on lectures that took place during workshops with the following thematic titles: “Modular Forms Around String Theory,” “Enumerative Geometry and Calabi–Yau Varieties,” “Physics Around Mirror Symmetry,” “Hodge Theory in String Theory.” The book is ideal for graduate students and researchers learning about Calabi–Yau varieties as well as physics students and string theorists who wish to learn the mathematics behind these varieties.
Editors and Affiliations
Bibliographic Information
Book Title: Calabi-Yau Varieties: Arithmetic, Geometry and Physics
Book Subtitle: Lecture Notes on Concentrated Graduate Courses
Editors: Radu Laza, Matthias Schütt, Noriko Yui
Series Title: Fields Institute Monographs
DOI: https://doi.org/10.1007/978-1-4939-2830-9
Publisher: Springer New York, NY
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Springer Science+Business Media New York 2015
Hardcover ISBN: 978-1-4939-2829-3Published: 30 August 2015
Softcover ISBN: 978-1-4939-4988-5Published: 22 October 2016
eBook ISBN: 978-1-4939-2830-9Published: 27 August 2015
Series ISSN: 1069-5273
Series E-ISSN: 2194-3079
Edition Number: 1
Number of Pages: X, 547
Number of Illustrations: 59 b/w illustrations, 12 illustrations in colour
Topics: Number Theory, Algebraic Geometry, Several Complex Variables and Analytic Spaces