Equivariant cobordism of Grassmann and flag manifolds

Mukherjee, Goutam

doi:10.1007/bf02836873

Proc. Indian Acad. Sci. (Math. Sci.)

1995

DOI: 10.1007/bf02836873

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Equivariant cobordism of Grassmann and flag manifolds

Goutam Mukherjee¹

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1998

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Elementary abelian 2-group actions on flag manifolds and applications

Mukherjee

Sankaran

1998

Proc. Amer. Math. Soc.

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Abstract. Let N * denote the unoriented cobordism ring. Let G = (Z/2) n and let Z * (G) denote the equivariant cobordism ring of smooth manifolds with smooth G-actions having finite stationary points. In this paper we show that the unoriented cobordism class of the (real) is in the subalgebra generated by i<2 n N i , where m = m j , and 2 n−1 < m ≤ 2 n . We obtain sufficient conditions for indecomposability of an element in Z * (G). We also obtain a sufficient condition for algebraic independence of any set of elements in Z * (G). Using our criteria, we construct many indecomposable elements in the kernel of the forgetful map, and show that they generate a polynomial subalgebra of Z * (G).

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Elementary abelian 2-group actions on flag manifolds and applications

Mukherjee

Sankaran

1998

Proc. Amer. Math. Soc.

Self Cite

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Equivariant cobordism of Grassmann and flag manifolds

Cited by 1 publication

References 10 publications

Elementary abelian 2-group actions on flag manifolds and applications

Elementary abelian 2-group actions on flag manifolds and applications

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