ISBN: 9780691025971
ID: 6274982
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. 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. Books, Science and Geography~~Mathematics~~Geometry, The Seiberg-Witten Equations And Applications To The Topology Of Smooth Four-Manifolds~~Book~~9780691025971~~John W. Morgan, , , , , , , , , ,, [PU: Princeton University Press]
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The Seiberg-Witten Equations and Applications to the Topology of Smooth Four-Manifolds (Paperback) - Paperback1995, ISBN: 0691025975
ID: 14456155524
[EAN: 9780691025971], New book, [SC: 0.0], [PU: Princeton University Press, United States], Mathematics|Advanced, Mathematics|Geometry|Differential, Science|Mathematical Physics, Language: English Brand New Book ***** Print on Demand *****. 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.
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The Seiberg-Witten Equations and Applications to the Topology of Smooth Four-Manifolds (Paperback) - Paperback
1995
ISBN: 0691025975
ID: 14467582133
[EAN: 9780691025971], New book, [SC: 0.0], [PU: Princeton University Press, United States], Mathematics|Advanced, Mathematics|Geometry|Differential, Science|Mathematical Physics, Language: English Brand New Book ***** Print on Demand *****.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.
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The Seiberg-Witten Equations and Applications to the Topology of Smooth Four-Manifolds. (MN-44) - new book
ISBN: 9780691025971
ID: 1756194
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. Mathematics Mathematics, Princeton University Press
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The Seiberg-Witten Equations and Applications to the Topology of Smooth Four-Manifolds. [MN-44] - new book
ISBN: 9780691025971
ID: 9780691025971
The Seiberg-Witten Equations and Applications to the Topology of Smooth Four-Manifolds. [MN-44] Author :John W. Morgan 9780691025971 0691025975, [PU: Princeton University Press]
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Title: | The Seiberg-Witten Equations and Applications to the Topology of Smooth Four-Manifolds. (MN-44): |
ISBN: | 9780691025971 |
Details of the book - The Seiberg-Witten Equations and Applications to the Topology of Smooth Four-Manifolds. (MN-44):
EAN (ISBN-13): 9780691025971
ISBN (ISBN-10): 0691025975
Paperback
Publishing year: 1995
Publisher: PRINCETON UNIV PR
130 Pages
Weight: 0,209 kg
Language: eng/Englisch
Book in our database since 27.12.2007 00:28:03
Book found last time on 23.07.2015 19:14:56
ISBN/EAN: 9780691025971
ISBN - alternate spelling:
0-691-02597-5, 978-0-691-02597-1
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