The divisibility in the cut-and-paste group of $G$-manifolds and fibring over the circle within a cobordism class

Komiya, Katsuhiro

Osaka J. Math., Tome 42 (2005) no. 1, p. 233-241 / Harvested from Project Euclid

Résumé

We prove a divisibility theorem for elements in the cut-and-paste group, or the $SK$-group of $G$-manifolds, $G$ a finite abelian group of odd order. As an application we obtain necessary and sufficient conditions for that a closed $G$-manifold is equivariantly cobordant to the total space of $G$-fibration over the circle.

Publié le : 2005-03-14
Classification:

@article{1153494324,
     author = {Komiya, Katsuhiro},
     title = {The divisibility in the cut-and-paste group of $G$-manifolds and fibring over the circle within a cobordism class},
     journal = {Osaka J. Math.},
     volume = {42},
     number = {1},
     year = {2005},
     pages = { 233-241},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1153494324}
}

Komiya, Katsuhiro. The divisibility in the cut-and-paste group of $G$-manifolds and fibring over the circle within a cobordism class. Osaka J. Math., Tome 42 (2005) no. 1, pp.  233-241. http://gdmltest.u-ga.fr/item/1153494324/