Geometry of Low-dimensional Manifolds 1: Gauge Theory and Algebraic Surfaces
This is perhaps a rather technical result, but it had been isolated by Gromov in 1970 as the crux of a comprehensive "hard versus soft" alternative in "symplectic topology": Gromov showed that if this rigidity result was not true then any problem in symplectic topology (for ex...
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2013
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oai:scholar.dlu.edu.vn:DLU123456789-343352014-01-20T03:47:03Z Geometry of Low-dimensional Manifolds 1: Gauge Theory and Algebraic Surfaces Donaldson, S. K Geometry This is perhaps a rather technical result, but it had been isolated by Gromov in 1970 as the crux of a comprehensive "hard versus soft" alternative in "symplectic topology": Gromov showed that if this rigidity result was not true then any problem in symplectic topology (for example the classification of symplectic structures) would admit a purely algebro-topological solution (in terms of cohomology, characteristic classes, bundle theory etc.) Conversely, the rigidity result shows the need to study deeper and more specifically geometrical phenomena, beyond those of algebraic topology. 2013-06-19T06:57:12Z 2013-06-19T06:57:12Z 1990 Book 9780521399784 0 521 39978 5 http://scholar.dlu.edu.vn/thuvienso/handle/DLU123456789/34335 en application/pdf Cambridge |
| institution |
Thư viện Trường Đại học Đà Lạt |
| collection |
Thư viện số |
| language |
English |
| topic |
Geometry |
| spellingShingle |
Geometry Donaldson, S. K Geometry of Low-dimensional Manifolds 1: Gauge Theory and Algebraic Surfaces |
| description |
This is perhaps a rather technical result, but it had been isolated by Gromov in
1970 as the crux of a comprehensive "hard versus soft" alternative in "symplectic
topology": Gromov showed that if this rigidity result was not true then any
problem in symplectic topology (for example the classification of symplectic structures)
would admit a purely algebro-topological solution (in terms of cohomology,
characteristic classes, bundle theory etc.) Conversely, the rigidity result shows the
need to study deeper and more specifically geometrical phenomena, beyond those of algebraic topology. |
| format |
Book |
| author |
Donaldson, S. K |
| author_facet |
Donaldson, S. K |
| author_sort |
Donaldson, S. K |
| title |
Geometry of Low-dimensional Manifolds
1: Gauge Theory and Algebraic Surfaces |
| title_short |
Geometry of Low-dimensional Manifolds
1: Gauge Theory and Algebraic Surfaces |
| title_full |
Geometry of Low-dimensional Manifolds
1: Gauge Theory and Algebraic Surfaces |
| title_fullStr |
Geometry of Low-dimensional Manifolds
1: Gauge Theory and Algebraic Surfaces |
| title_full_unstemmed |
Geometry of Low-dimensional Manifolds
1: Gauge Theory and Algebraic Surfaces |
| title_sort |
geometry of low-dimensional manifolds
1: gauge theory and algebraic surfaces |
| publisher |
Cambridge |
| publishDate |
2013 |
| url |
http://scholar.dlu.edu.vn/thuvienso/handle/DLU123456789/34335 |
| _version_ |
1757655721596420096 |