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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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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 anti-self-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 anifolds, especially algebraic surfaces. These computations yielded many powerful topological consequences including, for example, the diffeomorphism classification of elliptic surfaces.

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	Science/Engineering Geometry of Low-Dimensional Manifolds, Vol. 2: Symplectic Manifolds and Jones-Witten Theory Geometry of Low-Dimensional Manifolds, Vol. 2: Symplectic Manifolds and Jones-Witten Theory Cambridge University Press \| ISBN: 0521400015 \| 1991-01-25 \| PDF \| 260 pages \| 4 Mb These volumes are based on lecture courses and seminars given at ...
	Science/Engineering Lectures on Seiberg-Witten Invariants John D. Moore, “Lectures on Seiberg-Witten Invariants” Springer \| 2001-05-18 \| ISBN: 3540412212 \| 121 pages \| PDF \| 4,45 MB This book gives a streamlined introduction to the theory of Seiberg-Witten invariants suitable for second-year ...
	Science/Engineering Smooth Four-Manifolds and Complex Surfaces Robert Friedman, John W. Morgan, “Smooth Four-Manifolds and Complex Surfaces” Springer \| 1994-11-18 \| ISBN: 3540570586 \| 520 pages \| DJVU \| 13,9 MB This book applies the recent techniques of gauge theory to study the smooth classificati ...
	Science/Engineering Geometric Mechanics on Riemannian Manifolds: Applications to Partial Differential Equations Geometric Mechanics on Riemannian Manifolds: Applications to Partial Differential Equations Publisher: Birkhäuser Boston \| ISBN: 0817643540 \| edition 2004 \| PDF \| 278 pages \| 1,44 mbDifferential geometry techniques have very useful and im ...
	Science/Engineering Introduction to Smooth Manifolds John M. Lee: "Introduction to Smooth Manifolds"Springer \| ISBN: 0387954953 \| edition: 2002 \| PDF \| 640 Pages \| 4,3 MB MbThis book is an introductory graduate-level textbook on the theory of smooth manifolds. Its goal is to familiarize stude ...
	Science/Engineering Chern Numbers And Rozansky-witten Invariants Of Compact Hyper-kahler Manifolds Marc Nieper Wibkirchen, "Chern Numbers And Rozansky-witten Invariants Of Compact Hyper-kahler Manifolds" World Scientific Publishing Company \| 2004 \| ISBN: 9812388516 \| 172 pages \| PDF \| 5,5 MB This unique book deals with the theory of Ro ...

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	Science/Engineering Geometry of Low-Dimensional Manifolds, Vol. 2: Symplectic Manifolds and Jones-Witten Theory Geometry of Low-Dimensional Manifolds, Vol. 2: Symplectic Manifolds and Jones-Witten Theory Cambridge University Press \| ISBN: 0521400015 \| 1991-01-25 \| PDF \| 260 pages \| 4 Mb These volumes are based on lecture courses and seminars given at ...
	Science/Engineering Lectures on Seiberg-Witten Invariants John D. Moore, “Lectures on Seiberg-Witten Invariants” Springer \| 2001-05-18 \| ISBN: 3540412212 \| 121 pages \| PDF \| 4,45 MB This book gives a streamlined introduction to the theory of Seiberg-Witten invariants suitable for second-year ...
	Science/Engineering Smooth Four-Manifolds and Complex Surfaces Robert Friedman, John W. Morgan, “Smooth Four-Manifolds and Complex Surfaces” Springer \| 1994-11-18 \| ISBN: 3540570586 \| 520 pages \| DJVU \| 13,9 MB This book applies the recent techniques of gauge theory to study the smooth classificati ...
	Science/Engineering Geometric Mechanics on Riemannian Manifolds: Applications to Partial Differential Equations Geometric Mechanics on Riemannian Manifolds: Applications to Partial Differential Equations Publisher: Birkhäuser Boston \| ISBN: 0817643540 \| edition 2004 \| PDF \| 278 pages \| 1,44 mbDifferential geometry techniques have very useful and im ...
	Science/Engineering Introduction to Smooth Manifolds John M. Lee: "Introduction to Smooth Manifolds"Springer \| ISBN: 0387954953 \| edition: 2002 \| PDF \| 640 Pages \| 4,3 MB MbThis book is an introductory graduate-level textbook on the theory of smooth manifolds. Its goal is to familiarize stude ...
	Science/Engineering Chern Numbers And Rozansky-witten Invariants Of Compact Hyper-kahler Manifolds Marc Nieper Wibkirchen, "Chern Numbers And Rozansky-witten Invariants Of Compact Hyper-kahler Manifolds" World Scientific Publishing Company \| 2004 \| ISBN: 9812388516 \| 172 pages \| PDF \| 5,5 MB This unique book deals with the theory of Ro ...

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