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Ted Petrie, John Randall “Connections, Definite Forms, and Four-manifolds"

The central theme of this book is the study of self-dual connections on four-manifolds. The author's aim is to present a lucid introduction to moduli space techniques (for vector bundles with SO (3) as structure group) and to apply them to four-manifolds. The authors have adopted a topologists' perspective. For example, they have included some explicit calculations using the Atiyah-Singer index theorem as well as methods from equivariant topology in the study of the topology of the moduli space. Results covered include Donaldson's Theorem that the only positive definite form which occurs as an intersection form of a smooth four-manifold is the standard positive definite form, as well as those of Fintushel and Stern which show that the integral homology cobordism group of integral homology three-spheres has elements of infinite order. Little previous knowledge of differential geometry is assumed and so postgraduate students and research workers will find this both an accessible and complete introduction to currently one of the most active areas of mathematical research.

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	Science/Engineering Geometrical Properties of Vectors and Covectors: An Introductory Survey of Differentiable Manifolds, Tensors and Forms Joaquim M. Domingos, "Geometrical Properties of Vectors and Covectors: An Introductory Survey of Differentiable Manifolds, Tensors and Forms" World Scientific Publishing Company (October 9, 2006) \| ISBN:9812700447 \| 84 pages \| PDF \| 2,3 ...
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	Science/Engineering Fat Manifolds and Linear Connections Fat Manifolds and Linear ConnectionsWorld Scientific Publishing Company \| ISBN: 9812819045 \| 2008-12-11 \| PDF \| 312 pages \| 2 Mb The theory of connections is central not only in pure mathematics (differential and algebraic geometry), but al ...
	Study Invariant Forms on Grassmann Manifolds, Vol. 89 (Annals of Mathematics Studies) Wilhelm Stoll "Invariant Forms on Grassmann Manifolds, Vol. 89 (Annals of Mathematics Studies)"Princeton University Press \| English \| 1978-01-01 \| ISBN: 0691081999 \| 128 pages \| DJVU \| 1,1 MBMost of the results in this monograph are known. ...
	Study New American Streamline Connections - Intermediate: Connections Workbook A (Units 1-40) Bernard Hartley, Peter Viney, Tim Falla, "New American Streamline Connections - Intermediate: Connections Workbook A (Units 1-40)" Oxford University Press, USA 1995 \| ISBN: 019434830X\| 48 pages \| PDF \| 2,1 MB This title is part of an exce ...
	Study Differential Forms and Connections R. W. R. Darling "Differential Forms and Connections"Cambridge University Press \| English \| 1994-10-28 \| ISBN: 0521468000 \| 268 pages \| PDF \| 6 MBThis book introduces the tools of modern differential geometry--exterior calculus, manifolds, ...

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	Science/Engineering Geometrical Properties of Vectors and Covectors: An Introductory Survey of Differentiable Manifolds, Tensors and Forms Joaquim M. Domingos, "Geometrical Properties of Vectors and Covectors: An Introductory Survey of Differentiable Manifolds, Tensors and Forms" World Scientific Publishing Company (October 9, 2006) \| ISBN:9812700447 \| 84 pages \| PDF \| 2,3 ...
	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 Fat Manifolds and Linear Connections Fat Manifolds and Linear ConnectionsWorld Scientific Publishing Company \| ISBN: 9812819045 \| 2008-12-11 \| PDF \| 312 pages \| 2 Mb The theory of connections is central not only in pure mathematics (differential and algebraic geometry), but al ...
	Study Invariant Forms on Grassmann Manifolds, Vol. 89 (Annals of Mathematics Studies) Wilhelm Stoll "Invariant Forms on Grassmann Manifolds, Vol. 89 (Annals of Mathematics Studies)"Princeton University Press \| English \| 1978-01-01 \| ISBN: 0691081999 \| 128 pages \| DJVU \| 1,1 MBMost of the results in this monograph are known. ...
	Study New American Streamline Connections - Intermediate: Connections Workbook A (Units 1-40) Bernard Hartley, Peter Viney, Tim Falla, "New American Streamline Connections - Intermediate: Connections Workbook A (Units 1-40)" Oxford University Press, USA 1995 \| ISBN: 019434830X\| 48 pages \| PDF \| 2,1 MB This title is part of an exce ...
	Study Differential Forms and Connections R. W. R. Darling "Differential Forms and Connections"Cambridge University Press \| English \| 1994-10-28 \| ISBN: 0521468000 \| 268 pages \| PDF \| 6 MBThis book introduces the tools of modern differential geometry--exterior calculus, manifolds, ...

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