The Resource Isomonodromic Deformations and Frobenius Manifolds : An Introduction, by Claude Sabbah, (electronic resource)

Isomonodromic Deformations and Frobenius Manifolds : An Introduction, by Claude Sabbah, (electronic resource)

Label
Isomonodromic Deformations and Frobenius Manifolds : An Introduction
Title
Isomonodromic Deformations and Frobenius Manifolds
Title remainder
An Introduction
Statement of responsibility
by Claude Sabbah
Creator
Author
Author
Subject
Language
  • fre
  • eng
Summary
The notion of a Frobenius structure on a complex analytic manifold appeared at the end of the seventies in the theory of singularities of holomorphic functions. Motivated by physical considerations, further development of the theory has opened new perspectives on, and revealed new links between, many apparently unrelated areas of mathematics and physics. Based on a series of graduate lectures, this book provides an introduction to algebraic geometric methods in the theory of complex linear differential equations. Starting from basic notions in complex algebraic geometry, it develops some of the classical problems of linear differential equations and ends with applications to recent research questions related to mirror symmetry. The fundamental tool used within the book is that of a vector bundle with connection. There is a detailed analysis of the singularities of such objects and of their deformations, and coverage of the techniques used in the resolution of the Riemann-Hilbert problem and Birkhoff’s problem. An approach to Frobenius manifolds using isomonodromic deformations of linear differential equations is also developed. Aimed at graduate students and researchers, the book assumes some familiarity with basic complex algebraic geometry
Member of
Is Subseries of
http://library.link/vocab/creatorName
Sabbah, Claude
Dewey number
515.354
http://bibfra.me/vocab/relation/httpidlocgovvocabularyrelatorsaut
TIbWrC1dqJQ
Language note
French
LC call number
QA564-609
Literary form
non fiction
Nature of contents
dictionaries
Series statement
Universitext,
http://library.link/vocab/subjectName
  • Geometry, algebraic
  • Mathematics
  • Algebra
  • Algebraic Geometry
  • Mathematics, general
  • Algebra
Label
Isomonodromic Deformations and Frobenius Manifolds : An Introduction, by Claude Sabbah, (electronic resource)
Instantiates
Publication
Note
Description based upon print version of record
Bibliography note
Includes bibliographical references and indexes
Carrier category
online resource
Carrier category code
cr
Content category
text
Content type code
txt
Contents
The language of fibre bundles -- Holomorphic vector bundles on the Riemann sphere -- The Riemann-Hilbert correspondence on a Riemann surface -- Lattices -- The Riemann-Hilbert problem and Birkhoff’s problem -- Fourier-Laplace duality -- Integrable deformations of bundles with connection on the Riemann sphere -- Saito structures and Frobenius structures on a complex analytic manifold
Dimensions
unknown
Edition
1st ed. 2008.
Extent
1 online resource (289 p.)
Form of item
online
Isbn
9781848000544
Media category
computer
Media type code
c
Other control number
10.1007/978-1-84800-054-4
Specific material designation
remote
System control number
  • (CKB)1000000000492024
  • (EBL)3062675
  • (SSID)ssj0000829123
  • (PQKBManifestationID)11454705
  • (PQKBTitleCode)TC0000829123
  • (PQKBWorkID)10760938
  • (PQKB)10341032
  • (SSID)ssj0000318538
  • (PQKBManifestationID)11245639
  • (PQKBTitleCode)TC0000318538
  • (PQKBWorkID)10309169
  • (PQKB)10730925
  • (DE-He213)978-1-84800-054-4
  • (MiAaPQ)EBC3062675
  • (EXLCZ)991000000000492024
Label
Isomonodromic Deformations and Frobenius Manifolds : An Introduction, by Claude Sabbah, (electronic resource)
Publication
Note
Description based upon print version of record
Bibliography note
Includes bibliographical references and indexes
Carrier category
online resource
Carrier category code
cr
Content category
text
Content type code
txt
Contents
The language of fibre bundles -- Holomorphic vector bundles on the Riemann sphere -- The Riemann-Hilbert correspondence on a Riemann surface -- Lattices -- The Riemann-Hilbert problem and Birkhoff’s problem -- Fourier-Laplace duality -- Integrable deformations of bundles with connection on the Riemann sphere -- Saito structures and Frobenius structures on a complex analytic manifold
Dimensions
unknown
Edition
1st ed. 2008.
Extent
1 online resource (289 p.)
Form of item
online
Isbn
9781848000544
Media category
computer
Media type code
c
Other control number
10.1007/978-1-84800-054-4
Specific material designation
remote
System control number
  • (CKB)1000000000492024
  • (EBL)3062675
  • (SSID)ssj0000829123
  • (PQKBManifestationID)11454705
  • (PQKBTitleCode)TC0000829123
  • (PQKBWorkID)10760938
  • (PQKB)10341032
  • (SSID)ssj0000318538
  • (PQKBManifestationID)11245639
  • (PQKBTitleCode)TC0000318538
  • (PQKBWorkID)10309169
  • (PQKB)10730925
  • (DE-He213)978-1-84800-054-4
  • (MiAaPQ)EBC3062675
  • (EXLCZ)991000000000492024

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