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Equivariant orientations and<i>G</i>-bordism theory

Equivariant orientations and<i>G</i>-bordism theory

We outline a new geometric theory of orientations under the action of a group G and formulate bordism theories for (7-oriented manifolds.These theories extend the classical G-bordism theories (graded on Z), as well as the RO((7)-graded oriented G-bordism theories which describe bordism of G-manifolds with restricted local representation structure.The theories …