An exotic 4-manifold
نویسندگان
چکیده
منابع مشابه
An Exotic 4-manifold
In [1] we have constructed a fake smooth structure on a contractible 4-manifold W relative to boundary. This is a smooth manifold V with d V = d W such that the identity map d V —• d W extends to a homeomorphism but not to a difFeomorphism V -+ W. This is a relative result in the sense that V itself is diffeomorphic to W, even though no such diffeomorphism can extend the identity map on the bou...
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This article intends to provide an introduction to the construction of small exotic 4-manifolds. Some of the necessary background is covered. An exposition is given of J. Park’s construction in [P] of an exotic CP#7CP. This article does not intend to present any new results. It was originally a Master’s thesis, and its aim is merely to provide a leisurely introduction to exotic 4-manifolds that...
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In this article, we construct the first examples of a simply connected minimal symplectic 4-manifold homeomorphic but not diffeomorphic to 3CP #7CP 2 . We also construct the first exotic symplectic structure on CP #5CP 2 .
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There is a regular 4-dimensional polyhedron with 120 dodecahedra as 3-dimensional faces. (Coxeter calls it the "120-cell".) The group of symmetries of this polyhedron is the Coxeter group with diagram: For each pair of opposite 3-dimensional faces of this polyhedron there is a unique reflection in its symmetry group which interchanges them. The result of identifying opposite faces by these refl...
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A splitting of a manifold in Kirby’s problem list (no.4.97) is given Gauge theory provides many fake copies of oriented closed smooth manifolds X with b2 (X) odd. Unfortunately, there is no such example with b + 2 (X) even. In problem 4.97 of Kirby’s problem list [4] the author suggested possible a candidate for such an example. Here we show that our example fails to be fake. Along the way we s...
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ژورنال
عنوان ژورنال: Journal of Differential Geometry
سال: 1991
ISSN: 0022-040X
DOI: 10.4310/jdg/1214446321