£109.91

Mirror Symmetry (Clay Mathematics Monographs)

Complex Analysis

Price data last checked 116 day(s) ago - refreshing...

View at Amazon

We'll watch every seller, every day. One email when your price arrives.

This is the usual price. Wait for it to drop, or tell us your number.

£110 today · usual range £0–£0 · best ever £60

NEW HERE?

Amazon shows you one price. We show you all of them.

Tosheroon watches Amazon prices so you don't have to. Every product on Amazon has a price history — we make it visible. Set the price you'd actually pay, and we'll email you the second it gets there. No app, no account, one email.

WHAT'S ON THIS PAGE

↓ Price chart
when this has been cheap or pricey

↓ Forecast
where the price is heading next

↓ Statistics
all-time high & low, recent range

↑ Price alert
name your number, we'll email you

Price History & Forecast

Grey patches = out of stock. Cheaper = lower on the chart. Hover for exact prices.

Last 562 days • 562 data points (No recent data available)

Historical

Generating forecast...

Price Distribution

Price distribution over 562 days • 8 price levels

Days at Price

Current Price

Price Analysis

Most common price: £141 (178 days, 31.7%)

Price range: £60 - £143

Price levels: 8 different prices over 562 days

Description

Mirror symmetry is a phenomenon arising in string theory in which two very different manifolds give rise to equivalent physics. Such a correspondence has significant mathematical consequences, the most familiar of which involves the enumeration of holomorphic curves inside complex manifolds by solving differential equations obtained from a ""mirror"" geometry. The inclusion of D-brane states in the equivalence has led to further conjectures involving calibrated submanifolds of the mirror pairs and new (conjectural) invariants of complex manifolds: the Gopakumar Vafa invariants. This book aims to give a single, cohesive treatment of mirror symmetry from both the mathematical and physical viewpoint. Parts 1 and 2 develop the necessary mathematical and physical background ``from scratch,'' and are intended for readers trying to learn across disciplines. The treatment is focussed, developing only the material most necessary for the task. In Parts 3 and 4 the physical and mathematical proofs of mirror symmetry are given. From the physics side, this means demonstrating that two different physical theories give isomorphic physics. Each physical theory can be described geometrically, and thus mirror symmetry gives rise to a ""pairing"" of geometries. The proof involves applying $R\leftrightarrow 1/R$ circle duality to the phases of the fields in the gauged linear sigma model. The mathematics proof develops Gromov-Witten theory in the algebraic setting, beginning with the moduli spaces of curves and maps, and uses localization techniques to show that certain hypergeometric functions encode the Gromov-Witten invariants in genus zero, as is predicted by mirror symmetry. Part 5 is devoted to advanced topics in mirror symmetry, including the role of D-branes in the context of mirror symmetry, and some of their applications in physics and mathematics: topological strings and large $N$ Chern-Simons theory; geometric engineering; mirror symmetry at higher genus; Gopakumar-Vafa invariants; and Kontsevich's formulation of the mirror phenomenon as an equivalence of categories. This book grew out of an intense, month-long course on mirror symmetry at Pine Manor College, sponsored by the Clay Mathematics Institute. The lecturers have tried to summarize this course in a coherent, unified text.

Product Specifications

Format: paperback
ASIN: 0821834878
Category: Books > Subjects > Science, Nature & Maths > Mathematics > Mathematical Analysis > Complex Analysis
Domain: Amazon UK
Release Date: 31 January 2003
Listed Since: 30 May 2023

Barcode

No barcode data available

Mirror Symmetry (Clay Mathematics Monographs)

This is the usual price. Wait for it to drop, or tell us your number.

Price History & Forecast

Price Distribution

Price Analysis

Description

Product Specifications

Barcode

Similar Products You Might Like

Mirror Symmetry I: Pt. 1 (AMS/IP Studies in Advanced Mathematics) (AMS/IP Studies in Pure Mathematics)

Handbook for Mirror Symmetry of Calabi–Yau and Fano Manifolds (Advanced Lectures in Mathematics)

Mirror Symmetry III (AMS/IP Studies in Advanced Mathematics): Proceedings of the Conference on Complex Geometry and Mirror Symmetry, Montraeal, 1995

B-Model Gromov-Witten Theory (Trends in Mathematics)

Mirror Symmetry II: Pt. 2 (AMS/IP Studies in Advanced Mathematics) (AMS/IP Studies in Pure Mathematics)

Dirichlet Branes and Mirror Symmetry (Clay Mathematics Monographs)

Mirror Symmetry and Algebraic Geometry (Mathematical Surveys & Monographs)

Mirror Symmetry: v. 5 (AMS/IP Studies in Advanced Mathematics): Proceedings of the BIRS Workshop on Calabi-Yau Varieties and Mirror Symmetry, December 6-11, 2003

Superschool on Derived Categories and D-branes: Edmonton, Canada, July 17-23, 2016: 240 (Springer Proceedings in Mathematics & Statistics, 240)

Strings and Geometry (Clay Mathematics Proceedings): Proceedings of the Clay Mathematics Institute 2002 Summer School on Strings and Geometry: Isaac ... United Kingdom March 24-april 20, 2002

String-Math 2015: String-math 2015 December 31, 2015-january 4, 2016 Tsinghua Sanya International Mathematics Forum, Sanya, China (Proceedings of Symposia in Pure Mathematics)

Mirror Symmetry and Tropical Geometry (Contemporary Mathematics)

Symmetries in Fundamental Physics: 176 (Fundamental Theories of Physics, 176)

Symmetries In Nature: The Scientific Heritage Of Louis Michel: 44 (World Scientific Series In 20th Century Physics)

Quantum Theory and Symmetries with Lie Theory and Its Applications in Physics Volume 2: QTS-X/LT-XII, Varna, Bulgaria, June 2017: 255 (Springer Proceedings in Mathematics & Statistics, 255)

Modular Forms and String Duality (Fields Institute Communications)

A Gentle Introduction to Homological Mirror Symmetry: 99 (London Mathematical Society Student Texts, Series Number 99)

Quantum Groups and Related Topics: Proceedings of the First Max Born Symposium: v. 13 (Mathematical Physics Studies)

Lectures and Surveys on G2-Manifolds and Related Topics: 84 (Fields Institute Communications, 84)

Symmetry and Quantum Mechanics (Chapman & Hall/CRC Monographs and Research Notes in Mathematics)

World Scientific Progress In String Theory: TASI 2003 Notes

Primitive Forms and Related Subjects - Kavli IPMU 2014: 83 (Advanced Studies in Pure Mathematics)

The Seiberg-Witten Equations and Applications to the Topology of Smooth Four-Manifolds (Mathematical Notes, Vol. 44)

The World in Eleven Dimensions: Supergravity, supermembranes and M-theory (Series in High Energy Physics, Cosmology and Gravitation)