ENGLISH

From Quantum Cohomology to Integrable Systems

By Martin A. Guest

Book information

Publisher
Oxford University Press, USA
Year
2008
ISBN
0198565992, 9781435657342, 9780198565994
LCC
QA612.3 .G84 2008
Open Library ID
OL16922049M
Language
english
Format
PDF
Filesize
1 MB (1342511 bytes)
Series
Oxford Graduate Texts in Mathematics
Edition
OUP
Pages
336\336
Topic
Mathematics Algebra
Library
Kolxo3
Time added
2009-07-20 03:45:11

Description

Quantum cohomology has its origins in symplectic geometry and algebraic geometry, but is deeply related to differential equations and integrable systems. This text explains what is behind the extraordinary success of quantum cohomology, leading to its connections with many existing areas of mathematics as well as its appearance in new areas such as mirror symmetry. Certain kinds of differential equations (or D-modules) provide the key links between quantum cohomology and traditional mathematics; these links are the main focus of the book, and quantum cohomology and other integrable PDEs such as the KdV equation and the harmonic map equation are discussed within this unified framework. Aimed at graduate students in mathematics who want to learn about quantum cohomology in a broad context, and theoretical physicists who are interested in the mathematical setting, the text assumes basic familiarity with differential equations and cohomology.

Similar books