1.

Record Nr.

UNINA9910454373003321

Autore

Guest Martin A

Titolo

From quantum cohomology to integrable systems [[electronic resource] /] / Martin A. Guest

Pubbl/distr/stampa

Oxford ; ; New York, : Oxford University Press, 2008

ISBN

1-281-34136-3

9786611341367

0-19-152412-3

Descrizione fisica

1 online resource (336 p.)

Collana

Oxford graduate texts in mathematics ; ; 15

Disciplina

514/.23

Soggetti

Homology theory

Quantum theory

Differential equations

Mappings (Mathematics)

Electronic books.

Lingua di pubblicazione

Inglese

Formato

Materiale a stampa

Livello bibliografico

Monografia

Note generali

Description based upon print version of record.

Nota di bibliografia

Includes bibliographical references and index.

Nota di contenuto

Preface; Acknowledgements; Contents; Introduction; 1 The many faces of cohomology; 2 Quantum cohomology; 3 Quantum differential equations; 4 Linear differential equations in general; 5 The quantum D-module; 6 Abstract quantum cohomology; 7 Integrable systems; 8 Solving integrable systems; 9 Quantum cohomology as an integrable system; 10 Integrable systems and quantum cohomology; References; Index

Sommario/riassunto

This text focuses on the extraordinary success of quantum cohomology and its connections with many existing areas of traditional mathematics and new areas such as mirror symmetry. Aimed at graduate students in mathematics as well as theoretical physicists, the text assumes basic familiarity with differential equations and cohomology. - ;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 connectio