Pseudo-isotopy classes of diffeomorphisms of the unknotted pairs $(S\sp {n+2},S\sp n)$ and $(S\sp {2p+2},S\sp p\times S\sp p)$
Krylov, Nikolai A.
Illinois J. Math., Tome 51 (2007) no. 3, p. 937-950 / Harvested from Project Euclid
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We consider two pairs, the standard unknotted $n$-sphere in $S^{n+2}$, and the product of two $p$-spheres trivially embedded in $S^{2p+2}$, and study orientation preserving diffeomorphisms of these pairs. Pseudo-isotopy classes of such diffeomorphisms form subgroups of the mapping class groups of $S^n$ and $S^p\times S^p$, respectively, and we determine the algebraic structure of such subgroups when $n>4$ and $p>1$.
Publié le : 2007-07-15
Classification:  57N37,  57Q45,  57R50 
@article{1258131112,
     author = {Krylov, Nikolai A.},
     title = {Pseudo-isotopy classes of diffeomorphisms of the unknotted pairs $(S\sp {n+2},S\sp n)$ and $(S\sp {2p+2},S\sp p\times S\sp p)$},
     journal = {Illinois J. Math.},
     volume = {51},
     number = {3},
     year = {2007},
     pages = { 937-950},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1258131112}
}

Krylov, Nikolai A. Pseudo-isotopy classes of diffeomorphisms of the unknotted pairs $(S\sp {n+2},S\sp n)$ and $(S\sp {2p+2},S\sp p\times S\sp p)$. Illinois J. Math., Tome 51 (2007) no. 3, pp.  937-950. http://gdmltest.u-ga.fr/item/1258131112/