Borrow it
Coverart for item
The Resource Hamiltonian group actions and equivariant cohomology, Shubham Dwivedi, Jonathan Herman, Lisa C. Jeffrey, Theo van den Hurk, (electronic book)

Hamiltonian group actions and equivariant cohomology, Shubham Dwivedi, Jonathan Herman, Lisa C. Jeffrey, Theo van den Hurk, (electronic book)

Creator
Contributor
Summary
This monograph could be used for a graduate course on symplectic geometry as well as for independent study. The monograph starts with an introduction of symplectic vector spaces, followed by symplectic manifolds and then Hamiltonian group actions and the Darboux theorem. After discussing moment maps and orbits of the coadjoint action, symplectic quotients are studied. The convexity theorem and toric manifolds come next and we give a comprehensive treatment of Equivariant cohomology. The monograph also contains detailed treatment of the Duistermaat-Heckman Theorem, geometric quantization, and flat connections on 2-manifolds. Finally, there is an appendix which provides background material on Lie groups. A course on differential topology is an essential prerequisite for this course. Some of the later material will be more accessible to readers who have had a basic course on algebraic topology. For some of the later chapters, it would be helpful to have some background on representation theory and complex geometry
Language
eng
Work
Publication
Extent
1 online resource (140 p.).
Note
Description based upon print version of record
Contents
  • Symplectic vector spaces
  • Hamiltonian group actions
  • The Darboux-Weinstein Theorem
  • Elementary properties of moment maps
  • The symplectic structure on coadjoint orbits
  • Symplectic Reduction
  • Convexity
  • Toric Manifolds
  • Equivariant Cohomology
  • The Duistermaat-Heckman Theorem
  • Geometric Quantization
  • Flat connections on 2-manifolds
Isbn
9783030272272
Instance
Label
Hamiltonian group actions and equivariant cohomology
Title
Hamiltonian group actions and equivariant cohomology
Statement of responsibility
Shubham Dwivedi, Jonathan Herman, Lisa C. Jeffrey, Theo van den Hurk
Creator
Contributor
Subject
Language
eng
Summary
This monograph could be used for a graduate course on symplectic geometry as well as for independent study. The monograph starts with an introduction of symplectic vector spaces, followed by symplectic manifolds and then Hamiltonian group actions and the Darboux theorem. After discussing moment maps and orbits of the coadjoint action, symplectic quotients are studied. The convexity theorem and toric manifolds come next and we give a comprehensive treatment of Equivariant cohomology. The monograph also contains detailed treatment of the Duistermaat-Heckman Theorem, geometric quantization, and flat connections on 2-manifolds. Finally, there is an appendix which provides background material on Lie groups. A course on differential topology is an essential prerequisite for this course. Some of the later material will be more accessible to readers who have had a basic course on algebraic topology. For some of the later chapters, it would be helpful to have some background on representation theory and complex geometry
Member of
Cataloging source
EBLCP
http://library.link/vocab/creatorName
Dwivedi, Shubham
Dewey number
  • 516.3/6
  • 514
Index
no index present
LC call number
QA665
Literary form
non fiction
Nature of contents
dictionaries
http://library.link/vocab/relatedWorkOrContributorName
  • Herman, Jonathan
  • Jeffrey, Lisa C
  • Hurk, Theo van den
Series statement
SpringerBriefs in Mathematics
http://library.link/vocab/subjectName
  • Symplectic geometry
  • Homology theory
Label
Hamiltonian group actions and equivariant cohomology, Shubham Dwivedi, Jonathan Herman, Lisa C. Jeffrey, Theo van den Hurk, (electronic book)
Instantiates
Publication
Note
Description based upon print version of record
Antecedent source
file reproduced from an electronic resource
Contents
Symplectic vector spaces -- Hamiltonian group actions -- The Darboux-Weinstein Theorem -- Elementary properties of moment maps -- The symplectic structure on coadjoint orbits -- Symplectic Reduction -- Convexity -- Toric Manifolds -- Equivariant Cohomology -- The Duistermaat-Heckman Theorem -- Geometric Quantization -- Flat connections on 2-manifolds
Dimensions
unknown
Extent
1 online resource (140 p.).
File format
one file format
Form of item
online
Isbn
9783030272272
Level of compression
unknown
Other control number
10.1007/978-3-030-27
Quality assurance targets
unknown
Reformatting quality
unknown
Specific material designation
remote
System control number
  • on1121128618
  • (OCoLC)1121128618
Label
Hamiltonian group actions and equivariant cohomology, Shubham Dwivedi, Jonathan Herman, Lisa C. Jeffrey, Theo van den Hurk, (electronic book)
Publication
Note
Description based upon print version of record
Antecedent source
file reproduced from an electronic resource
Contents
Symplectic vector spaces -- Hamiltonian group actions -- The Darboux-Weinstein Theorem -- Elementary properties of moment maps -- The symplectic structure on coadjoint orbits -- Symplectic Reduction -- Convexity -- Toric Manifolds -- Equivariant Cohomology -- The Duistermaat-Heckman Theorem -- Geometric Quantization -- Flat connections on 2-manifolds
Dimensions
unknown
Extent
1 online resource (140 p.).
File format
one file format
Form of item
online
Isbn
9783030272272
Level of compression
unknown
Other control number
10.1007/978-3-030-27
Quality assurance targets
unknown
Reformatting quality
unknown
Specific material designation
remote
System control number
  • on1121128618
  • (OCoLC)1121128618

Subject

Member of

Library Locations

Library Links

Structured data from the Bibframe namespace is licensed under the Creative Commons Attribution 4.0 International License by University of Liverpool. Additional terms may apply to data associated with third party namespaces.
Processing Feedback ...