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Equivariant bordisms

Research paper by A. M. Karminskii

Indexed on: 01 Nov '71Published on: 01 Nov '71Published in: Mathematical Notes



Abstract

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.