The Resource Fourier-Mukai and Nahm Transforms in Geometry and Mathematical Physics, by CLAUDIO BARTOCCI, Ugo Bruzzo, Daniel Hernández Ruipérez, (electronic resource)

Fourier-Mukai and Nahm Transforms in Geometry and Mathematical Physics, by CLAUDIO BARTOCCI, Ugo Bruzzo, Daniel Hernández Ruipérez, (electronic resource)

Label
Fourier-Mukai and Nahm Transforms in Geometry and Mathematical Physics
Title
Fourier-Mukai and Nahm Transforms in Geometry and Mathematical Physics
Statement of responsibility
by CLAUDIO BARTOCCI, Ugo Bruzzo, Daniel Hernández Ruipérez
Creator
Contributor
Author
Author
Subject
Language
  • eng
  • eng
Summary
Integral transforms, such as the Laplace and Fourier transforms, have been major tools in mathematics for at least two centuries. In the last three decades the development of a number of novel ideas in algebraic geometry, category theory, gauge theory, and string theory has been closely related to generalizations of integral transforms of a more geometric character. Fourier–Mukai and Nahm Transforms in Geometry and Mathematical Physics examines the algebro-geometric approach (Fourier–Mukai functors) as well as the differential-geometric constructions (Nahm). Also included is a considerable amount of material from existing literature which has not been systematically organized into a monograph. Key features: * Basic constructions and definitions are presented in preliminary background chapters * Presentation explores applications and suggests several open questions * Extensive bibliography and index This self-contained monograph provides an introduction to current research in geometry and mathematical physics and is intended for graduate students and researchers just entering this field
Member of
http://library.link/vocab/creatorName
BARTOCCI, CLAUDIO
Dewey number
515.723
http://bibfra.me/vocab/relation/httpidlocgovvocabularyrelatorsaut
  • B6qx6_l7Yi4
  • K6921GbtayA
  • ldPbmQGNfPg
Language note
English
LC call number
QC1-75
Literary form
non fiction
Nature of contents
dictionaries
http://library.link/vocab/relatedWorkOrContributorName
  • Bruzzo, Ugo.
  • Hernández Ruipérez, Daniel.
Series statement
Progress in Mathematics,
Series volume
276
http://library.link/vocab/subjectName
  • Physics
  • Geometry, algebraic
  • Differential equations, partial
  • Global differential geometry
  • Physics, general
  • Algebraic Geometry
  • Partial Differential Equations
  • Differential Geometry
  • Theoretical, Mathematical and Computational Physics
Label
Fourier-Mukai and Nahm Transforms in Geometry and Mathematical Physics, by CLAUDIO BARTOCCI, Ugo Bruzzo, Daniel Hernández Ruipérez, (electronic resource)
Instantiates
Publication
Note
Description based upon print version of record
Bibliography note
Includes bibliographical references and index
Carrier category
online resource
Carrier category code
cr
Content category
text
Content type code
txt
Contents
Integral functors -- Fourier-Mukai functors -- Fourier-Mukai on Abelian varieties -- Fourier-Mukai on K3 surfaces -- Nahm transforms -- Relative Fourier-Mukai functors -- Fourier-Mukai partners and birational geometry -- Derived and triangulated categories -- Lattices -- Miscellaneous results -- Stability conditions for derived categories
Dimensions
unknown
Edition
1st ed. 2009.
Extent
1 online resource (434 p.)
Form of item
online
Isbn
9781282290600
Media category
computer
Media type code
c
Other control number
10.1007/b11801
Specific material designation
remote
System control number
  • (CKB)1000000000761480
  • (EBL)450986
  • (OCoLC)436869549
  • (SSID)ssj0000303903
  • (PQKBManifestationID)11205035
  • (PQKBTitleCode)TC0000303903
  • (PQKBWorkID)10277852
  • (PQKB)10324672
  • (SSID)ssj0000157678
  • (PQKBManifestationID)11946894
  • (PQKBTitleCode)TC0000157678
  • (PQKBWorkID)10139315
  • (PQKB)11573256
  • (DE-He213)978-0-8176-4663-9
  • (MiAaPQ)EBC450986
  • (EXLCZ)991000000000761480
Label
Fourier-Mukai and Nahm Transforms in Geometry and Mathematical Physics, by CLAUDIO BARTOCCI, Ugo Bruzzo, Daniel Hernández Ruipérez, (electronic resource)
Publication
Note
Description based upon print version of record
Bibliography note
Includes bibliographical references and index
Carrier category
online resource
Carrier category code
cr
Content category
text
Content type code
txt
Contents
Integral functors -- Fourier-Mukai functors -- Fourier-Mukai on Abelian varieties -- Fourier-Mukai on K3 surfaces -- Nahm transforms -- Relative Fourier-Mukai functors -- Fourier-Mukai partners and birational geometry -- Derived and triangulated categories -- Lattices -- Miscellaneous results -- Stability conditions for derived categories
Dimensions
unknown
Edition
1st ed. 2009.
Extent
1 online resource (434 p.)
Form of item
online
Isbn
9781282290600
Media category
computer
Media type code
c
Other control number
10.1007/b11801
Specific material designation
remote
System control number
  • (CKB)1000000000761480
  • (EBL)450986
  • (OCoLC)436869549
  • (SSID)ssj0000303903
  • (PQKBManifestationID)11205035
  • (PQKBTitleCode)TC0000303903
  • (PQKBWorkID)10277852
  • (PQKB)10324672
  • (SSID)ssj0000157678
  • (PQKBManifestationID)11946894
  • (PQKBTitleCode)TC0000157678
  • (PQKBWorkID)10139315
  • (PQKB)11573256
  • (DE-He213)978-0-8176-4663-9
  • (MiAaPQ)EBC450986
  • (EXLCZ)991000000000761480

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