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The Seiberg-Witten Equations and Applications to the Topology of Smooth Four-Manifolds. (MN-44) - Morgan, John W.
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Morgan, John W.:
The Seiberg-Witten Equations and Applications to the Topology of Smooth Four-Manifolds. (MN-44) - Livres de poche

ISBN: 9780691025971

[ED: Taschenbuch], [PU: PRINCETON UNIV PR], 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. Review: ... This book provides an excellent introduction to the recently discovered Seilberg-Witten invariants for smooth closed oriented 4-mainifolds. (Mathematical Reviews) Table of contents: TR 1 Introduction TD ALIGN="RIGHT"1 TR 2 Clifford Algebras and Spin Groups TD ALIGN="RIGHT"5 TR 3 Spin Bundles and the Dirac Operator TD ALIGN="RIGHT"23 TR 4 The Seiberg-Witten Moduli Space TD ALIGN="RIGHT"55 TR 5 Curvature Identities and Bounds TD ALIGN="RIGHT"69 TR 6 The Seiberg-Witten Invariant TD ALIGN="RIGHT"87 TR 7 Invariants of Kahler Surfaces TD ALIGN="RIGHT"109 TR Bibliography TD ALIGN="RIGHT"127 130 pages - 9 x 6 in Versandfertig in über 4 Wochen, [SC: 0.00], Neuware, gewerbliches Angebot

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The Seiberg-Witten Equations and Applications to the Topology of Smooth  Four-Manifolds - Morgan, John W.
Livre non disponible
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Morgan, John W.:
The Seiberg-Witten Equations and Applications to the Topology of Smooth Four-Manifolds - Livres de poche

1995, ISBN: 9780691025971

ID: 867921273

Bx-330: Princeton University Press. Very Good. 1995. Paperback. Trade PB. 8vo. Princeton University Press. 1995. 130 pgs. Wrappers lightly worn with some light shelf-wear to the extremities present (light discoloration present to the wrappers). Book is free of ownership marks. Text is clean and free of marks. Binding tight and solid. Photos sent upon request. Bx-330; Mathematical Notes, Vol. 44; 8vo 8" - 9" tall; 130 pages ., Princeton University Press, 1995

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The Seiberg-Witten Equations and Applications to the Topology of Smooth Four-Manifolds (Mathematical Notes, Vol. 44) - Morgan, John W.
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Morgan, John W.:
The Seiberg-Witten Equations and Applications to the Topology of Smooth Four-Manifolds (Mathematical Notes, Vol. 44) - Livres de poche

1995, ISBN: 9780691025971

ID: 13685489430

Paperback, Item may show signs of shelf wear. Pages may include limited notes and highlighting. Includes supplemental or companion materials if applicable. Access codes may or may not work. Connecting readers since 1972. Customer service is our top priority., Gebraucht, guter Zustand, [PU: Princeton University Press]

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The Seiberg-Witten Equations and Applications to the Topology of Smooth Four-Manifolds. (MN-44) - John W. Morgan
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John W. Morgan:
The Seiberg-Witten Equations and Applications to the Topology of Smooth Four-Manifolds. (MN-44) - livre d'occasion

ISBN: 9780691025971

ID: 878472509

Princeton University Press. Used - Good. Ships from the UK. Former Library book. Shows some signs of wear, and may have some markings on the inside. 100% Money Back Guarantee. Your purchase also supports literacy charities., Princeton University Press

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The Seiberg-Witten Equations and Applications to the Topology of Smooth Four-Manifolds. (MN-44) - John W. Morgan
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John W. Morgan:
The Seiberg-Witten Equations and Applications to the Topology of Smooth Four-Manifolds. (MN-44) - Livres de poche

1995, ISBN: 9780691025971

ID: 446379529

Princeton University Press, 1995-12-11. Paperback. Good. Buy with confidence. Excellent Customer Service & Return policy. Ships Fast. 24*7 Customer Service., Princeton University Press, 1995-12-11

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The Seiberg-Witten Equations and Applications to the Topology of Smooth Four-Manifolds. (MN-44):

Beginning with the groundbreaking work of Donaldson in about 1980 it became clear that gauge-theoretic invariants of principal bundles and connections were an important tool in the study of smooth four-dimensional manifolds. Donaldson showed the importance of the moduli space of antiself-dual connections. The next fifteen years saw an explosion of work in this area leading to computations of Donaldson polynomial invariants for a wide class of four-dimensional manifolds, especially algebraic surfaces.

Informations détaillées sur le livre - The Seiberg-Witten Equations and Applications to the Topology of Smooth Four-Manifolds. (MN-44):


EAN (ISBN-13): 9780691025971
ISBN (ISBN-10): 0691025975
Livre de poche
Date de parution: 1995
Editeur: PRINCETON UNIV PR
130 Pages
Poids: 0,209 kg
Langue: eng/Englisch

Livre dans la base de données depuis 27.12.2007 00:28:03
Livre trouvé récemment le 25.03.2017 20:43:47
ISBN/EAN: 9780691025971

ISBN - Autres types d'écriture:
0-691-02597-5, 978-0-691-02597-1


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