Absolutely exotic compact 4-manifolds
نویسندگان
چکیده
منابع مشابه
Small Exotic 4-manifolds
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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Let M be either CP#3CP or 3CP#5CP. We construct the first example of a simply-connected symplectic 4-manifold that is homeomorphic but not diffeomorphic to M .
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A short survey of exotic smooth structutes on 4-manifolds is given with a special emphasis on the corresponding cork structures. Along the way we discuss some of the more recent results in this direction, obtained jointly with R. Matveyev, B.Ozbagci, C.Karakurt and K.Yasui.
متن کاملAn Introduction to Exotic 4-manifolds
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...
متن کاملCompact Hyperbolic 4-manifolds of Small Volume
We prove the existence of a compact non-orientable hyperbolic 4-manifold of volume 32π2/3 and a compact orientable hyperbolic 4-manifold of volume 64π2/3, obtainable from torsion-free subgroups of small index in the Coxeter group [5, 3, 3, 3]. At the time of writing these are the smallest volumes of any known compact hyperbolic 4-manifolds.
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ژورنال
عنوان ژورنال: Commentarii Mathematici Helvetici
سال: 2016
ISSN: 0010-2571
DOI: 10.4171/cmh/375