Equivariant bordisms
Matematičeskie zametki, Tome 10 (1971) no. 5, pp. 519-526
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The article investigates the category of manifolds acted upon by a Lie group $G$ in such a way that the orbit of every point is equivariantly diffeomorphic to one of a fixed set $S$ of homogeneous spaces of $G$. The bordism groups ($S$-equivariant bordism groups) are defined in a natural way. These groups are described in detail in the special cases of the quasicomplex action of the groups $U(1)$ and $SU(2)$ on quasicomplex manifolds.
@article{MZM_1971_10_5_a4,
author = {A. M. Karminskii},
title = {Equivariant bordisms},
journal = {Matemati\v{c}eskie zametki},
pages = {519--526},
year = {1971},
volume = {10},
number = {5},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/MZM_1971_10_5_a4/}
}
A. M. Karminskii. Equivariant bordisms. Matematičeskie zametki, Tome 10 (1971) no. 5, pp. 519-526. http://geodesic.mathdoc.fr/item/MZM_1971_10_5_a4/