The Resource An Introduction to Compactness Results in Symplectic Field Theory, by Casim Abbas, (electronic resource)

An Introduction to Compactness Results in Symplectic Field Theory, by Casim Abbas, (electronic resource)

Label
An Introduction to Compactness Results in Symplectic Field Theory
Title
An Introduction to Compactness Results in Symplectic Field Theory
Statement of responsibility
by Casim Abbas
Creator
Author
Author
Subject
Language
  • eng
  • eng
Summary
This book provides an introduction to symplectic field theory, a new and important subject which is currently being developed. The starting point of this theory are compactness results for holomorphic curves established in the last decade. The author presents a systematic introduction providing a lot of background material, much of which is scattered throughout the literature. Since the content grew out of lectures given by the author, the main aim is to provide an entry point into symplectic field theory for non-specialists and for graduate students. Extensions of certain compactness results, which are believed to be true by the specialists but have not yet been published in the literature in detail, top off the scope of this monograph
http://library.link/vocab/creatorName
Abbas, Casim
Dewey number
  • 510
  • 514.34
  • 516.3
  • 516.3/6
http://bibfra.me/vocab/relation/httpidlocgovvocabularyrelatorsaut
XJiJAqfDxyU
Language note
English
LC call number
QA641-670
Literary form
non fiction
Nature of contents
dictionaries
http://library.link/vocab/subjectName
  • Global differential geometry
  • Cell aggregation
  • Differential Geometry
  • Manifolds and Cell Complexes (incl. Diff.Topology)
Label
An Introduction to Compactness Results in Symplectic Field Theory, by Casim Abbas, (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
  • ""An Introduction to Compactness Results in Symplectic Field Theory""; ""Preface""; ""Contents""; ""Chapter 1: Riemann Surfaces""; ""1.1 Smooth and Noded Riemann Surfaces""; ""1.2 Riemann Surfaces and Hyperbolic Geometry""; ""1.2.1 Stable Surfaces""; ""1.2.2 The Hyperbolic Plane""; ""1.2.3 Gluing Hyperbolic Surfaces Along Their Boundaries""; ""1.2.4 Annuli""; ""1.2.5 Hexagons in the Upper Half Plane and Pairs of Pants""; ""1.2.6 Pairs of Pants Decompositions""; ""1.2.7 Thick-Thin Decomposition and Collar Lemma""; ""1.3 The Deligne-Mumford Compactness Result""
  • ""1.3.1 The Notion of Convergence""""1.3.2 The Proof of the Compactness Result for Surfaces Without Boundary""; ""1.3.3 Surfaces with Boundary""; ""Chapter 2: Pseudoholomorphic Curves""; ""2.1 Basic De nitions""; ""2.2 Asymptotic Behavior Near a Puncture""; ""2.2.1 Introduction""; ""2.2.2 Estimates for the Linear Cauchy Riemann Operator""; ""2.2.3 Regularity: Gradient Bounds Imply Cinfty-Bounds""; ""2.2.4 Behavior Near an Interior Puncture""; ""2.2.5 Behavior Near a Boundary Puncture""; ""2.3 Isoperimetric Inequality, Monotonicity Lemma, Removal of Singularities""
  • ""2.4 Finite-Energy Strips and Cylinders of Small Area""""Chapter 3: The SFT Compactness Results""; ""3.1 Holomorphic Buildings for Curves Without Boundary""; ""3.1.1 Holomorphic Buildings of Height 1""; ""3.1.2 Holomorphic Buildings of Height N""; ""3.2 Adding Additional Marked Points""; ""3.3 The Compactness Result for the Case Without Boundary""; ""3.3.1 Statement of the Result""; ""3.3.2 Gradient Bounds""; ""3.3.3 Convergence in the Thick Part""; ""3.3.4 Convergence in the Thin Part and Level Structure""; ""3.4 More General Holomorphic Buildings and Compactness Results""
  • ""3.4.1 Holomorphic Buildings of Height 1""""3.4.2 Holomorphic Buildings of Height N""; ""3.4.3 Holomorphic Buildings in Manifolds with Cylindrical Ends""; ""3.4.4 A More General Compactness Result""; ""References""; ""Index""
Dimensions
unknown
Edition
1st ed. 2014.
Extent
1 online resource (257 p.)
Form of item
online
Isbn
9783642315435
Media category
computer
Media type code
c
Other control number
10.1007/978-3-642-31543-5
Specific material designation
remote
System control number
  • (CKB)3710000000083703
  • (EBL)1636563
  • (OCoLC)871223696
  • (SSID)ssj0001161046
  • (PQKBManifestationID)11655851
  • (PQKBTitleCode)TC0001161046
  • (PQKBWorkID)11122094
  • (PQKB)10606767
  • (MiAaPQ)EBC1636563
  • (DE-He213)978-3-642-31543-5
  • (EXLCZ)993710000000083703
Label
An Introduction to Compactness Results in Symplectic Field Theory, by Casim Abbas, (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
  • ""An Introduction to Compactness Results in Symplectic Field Theory""; ""Preface""; ""Contents""; ""Chapter 1: Riemann Surfaces""; ""1.1 Smooth and Noded Riemann Surfaces""; ""1.2 Riemann Surfaces and Hyperbolic Geometry""; ""1.2.1 Stable Surfaces""; ""1.2.2 The Hyperbolic Plane""; ""1.2.3 Gluing Hyperbolic Surfaces Along Their Boundaries""; ""1.2.4 Annuli""; ""1.2.5 Hexagons in the Upper Half Plane and Pairs of Pants""; ""1.2.6 Pairs of Pants Decompositions""; ""1.2.7 Thick-Thin Decomposition and Collar Lemma""; ""1.3 The Deligne-Mumford Compactness Result""
  • ""1.3.1 The Notion of Convergence""""1.3.2 The Proof of the Compactness Result for Surfaces Without Boundary""; ""1.3.3 Surfaces with Boundary""; ""Chapter 2: Pseudoholomorphic Curves""; ""2.1 Basic De nitions""; ""2.2 Asymptotic Behavior Near a Puncture""; ""2.2.1 Introduction""; ""2.2.2 Estimates for the Linear Cauchy Riemann Operator""; ""2.2.3 Regularity: Gradient Bounds Imply Cinfty-Bounds""; ""2.2.4 Behavior Near an Interior Puncture""; ""2.2.5 Behavior Near a Boundary Puncture""; ""2.3 Isoperimetric Inequality, Monotonicity Lemma, Removal of Singularities""
  • ""2.4 Finite-Energy Strips and Cylinders of Small Area""""Chapter 3: The SFT Compactness Results""; ""3.1 Holomorphic Buildings for Curves Without Boundary""; ""3.1.1 Holomorphic Buildings of Height 1""; ""3.1.2 Holomorphic Buildings of Height N""; ""3.2 Adding Additional Marked Points""; ""3.3 The Compactness Result for the Case Without Boundary""; ""3.3.1 Statement of the Result""; ""3.3.2 Gradient Bounds""; ""3.3.3 Convergence in the Thick Part""; ""3.3.4 Convergence in the Thin Part and Level Structure""; ""3.4 More General Holomorphic Buildings and Compactness Results""
  • ""3.4.1 Holomorphic Buildings of Height 1""""3.4.2 Holomorphic Buildings of Height N""; ""3.4.3 Holomorphic Buildings in Manifolds with Cylindrical Ends""; ""3.4.4 A More General Compactness Result""; ""References""; ""Index""
Dimensions
unknown
Edition
1st ed. 2014.
Extent
1 online resource (257 p.)
Form of item
online
Isbn
9783642315435
Media category
computer
Media type code
c
Other control number
10.1007/978-3-642-31543-5
Specific material designation
remote
System control number
  • (CKB)3710000000083703
  • (EBL)1636563
  • (OCoLC)871223696
  • (SSID)ssj0001161046
  • (PQKBManifestationID)11655851
  • (PQKBTitleCode)TC0001161046
  • (PQKBWorkID)11122094
  • (PQKB)10606767
  • (MiAaPQ)EBC1636563
  • (DE-He213)978-3-642-31543-5
  • (EXLCZ)993710000000083703

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