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The Resource The Seiberg-Witten equations and applications to the topology of smooth four-manifolds, John W. Morgan

The Seiberg-Witten equations and applications to the topology of smooth four-manifolds, John W. Morgan

Label
The Seiberg-Witten equations and applications to the topology of smooth four-manifolds
Title
The Seiberg-Witten equations and applications to the topology of smooth four-manifolds
Statement of responsibility
John W. Morgan
Creator
Author
Subject
Language
eng
Summary
The recent introduction of the Seiberg-Witten invariants of smooth four-manifolds has revolutionized the study of those manifolds. The invariants are gauge-theoretic in nature and are close cousins of the much-studied SU(2)-invariants defined over fifteen years ago by Donaldson. On a practical level, the new invariants have proved to be more powerful and have led to a vast generalization of earlier results. This book is an introduction to the Seiberg-Witten invariants. The work begins with a review of the classical material on Spin c structures and their associated Dirac operators. Next comes a discussion of the Seiberg-Witten equations, which is set in the context of nonlinear elliptic operators on an appropriate infinite dimensional space of configurations. It is demonstrated that the space of solutions to these equations, called the Seiberg-Witten moduli space, is finite dimensional, and its dimension is then computed. In contrast to the SU(2)-case, the Seiberg-Witten moduli spaces are shown to be compact. The Seiberg-Witten invariant is then essentially the homology class in the space of configurations represented by the Seiberg-Witten moduli space. The last chapter gives a flavor for the applications of these new invariants by computing the invariants for most Kahler surfaces and then deriving some basic toological consequences for these surfaces
Member of
Cataloging source
E7B
Index
no index present
Language note
In English
Literary form
non fiction
Nature of contents
  • dictionaries
  • bibliography
Series statement
Mathematical Notes
Series volume
44
The Seiberg-Witten equations and applications to the topology of smooth four-manifolds, John W. Morgan
Label
The Seiberg-Witten equations and applications to the topology of smooth four-manifolds, John W. Morgan
Link
http://www.jstor.org/stable/10.2307/j.ctt7ztfpc
Publication
Copyright
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Bibliography note
Includes bibliographical references
Carrier category
online resource
Carrier category code
cr
Carrier MARC source
rdacarrier
Color
multicolored
Content category
text
Content type code
txt
Content type MARC source
rdacontent
Contents
  • 7. Invariants of Kahler Surfaces
  • Bibliography
  • Frontmatter
  • Contents
  • 1. Introduction
  • 2. Clifford Algebras and Spin Groups
  • 3. Spin Bundles and the Dirac Operator
  • 4. The Seiberg-Witten Moduli Space
  • 5. Curvature Identities and Bounds
  • 6. The Seiberg-Witten Invariant
http://library.link/vocab/cover_art
https://contentcafe2.btol.com/ContentCafe/Jacket.aspx?Return=1&Type=S&Value=9781400865161&userID=ebsco-test&password=ebsco-test
Dimensions
unknown
http://library.link/vocab/discovery_link
{'f': 'http://opac.lib.rpi.edu/record=b4332605'}
Extent
1 online resource (137 pages).
Form of item
online
Isbn
9781400865161
Media category
computer
Media MARC source
rdamedia
Media type code
c
Specific material designation
remote

Library Locations

    • Folsom LibraryBorrow it
      110 8th St, Troy, NY, 12180, US
      42.729766 -73.682577
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