2020 Paperback (ISBN 9781571463890)

2020 Paperback (ISBN 9781571463890)

Advanced Lectures in Mathematics

Volume 47

Handbook for Mirror Symmetry of Calabi–Yau and Fano Manifolds

Editors

Lizhen Ji (University of Michigan)

Baosen Wu (Harvard University)

Shing-Tung Yau (Harvard University)

Published: 2 March 2020

Publisher: International Press of Boston, Inc.

Paperback

558 pages

List Price: $50.00

Description

In algebraic geometry and theoretical physics, mirror symmetry refers to the relationship between two Calabi–Yau manifolds which appear very different geometrically but are nevertheless equivalent when employed as extra dimensions of string theory.

Mathematicians became interested in mirror symmetry around 1990, when it was shown that mirror symmetry could be used to count rational curves on a Calabi–Yau manifold, thus solving a long-standing problem.

Today, mirror symmetry is a fundamental tool for doing calculations in string theory, and it has been used to understand aspects of quantum field theory, the formalism that physicists use to describe elementary particles. Major approaches to mirror symmetry include the homological mirror symmetry program of Maxim Kontsevich and the SYZ conjecture of Andrew Strominger, Shing-Tung Yau, and Eric Zaslow.

This handbook surveys recent developments in mirror symmetry. It presents papers based on selected lectures given at a 2014 Taipei conference on “Calabi–Yau Geometry and Mirror Symmetry,” along with other contributions from invited authors.

This volume is part of the Advanced Lectures in Mathematics book series.

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2020 Mar

9781571463890

1571463895

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paperback

7” x 10”

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US$50.00