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Eguivariant bordism groups
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action of G bordism bordism groups bundles of type calculation cohomology COROLLARY critical orbits critical points cutting and pasting define denotes diffeomorphism dimensional G manifolds direct sum element equivariant equivariant cuttings equivariantly euler characteristic F bordant families of G fibration fibre finite abelian group Furthermore G invariant G slice G vector group G group of odd H modules H of index hence induction integers irreducible G modules isomorphism isotropy subgroup LEMMA line bundle manifold of type Morse functions non-negative integers non-trivial irreducible normal bundle obtain odd order polynomial proof of Theorem reader result follows RP(RxE section 4.3 short exact sequence SK equivalent SK groups slice types split exact sequence splitting homomorphism Stiefel-Whitney class subgroups of G submanifold Suppose surgery of type type F type F,F type of G underlying space vector bundle write Z/2 acting Z/2 manifold