The Equivariant Conner-Floyd Isomorphism
Copyright policy )The Equivariant Conner-Floyd Isomorphism
This paper proves two equivariant generalizations of the Conner-Floyd isomorphism relating unitary cobordism and K K -theory. It extends a previous result of Okonek for abelian groups to all compact Lie groups. We also show that the result for finite groups is true using either the geometric or homotopical versions of cobordism.
- Massachusetts Institute of Technology United States
- Hofstra University United States
Equivariant homology and cohomology in algebraic topology, K-theory, equivariant generalizations of the Conner-Floyd isomorphism, Topological \(K\)-theory, equivariant cobordism, equivariant K-theory, Equivariant cobordism, unitary cobordism, Bordism and cobordism theories and formal group laws in algebraic topology, Complex cobordism (\(\mathrm{U}\)- and \(\mathrm{SU}\)-cobordism)
Equivariant homology and cohomology in algebraic topology, K-theory, equivariant generalizations of the Conner-Floyd isomorphism, Topological \(K\)-theory, equivariant cobordism, equivariant K-theory, Equivariant cobordism, unitary cobordism, Bordism and cobordism theories and formal group laws in algebraic topology, Complex cobordism (\(\mathrm{U}\)- and \(\mathrm{SU}\)-cobordism)
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