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Equivariant k-theory
Published 1966“…<p>The purpose of this thesis is to present a fairly complete account of equivariant K-theory on compact spaces. Equivariant K-theory is a generalisation of K-theory, a rather well-known cohomology theory arising from consideration of the vector-bundles on a space. …”
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EQUIVARIANT $K$ -THEORY OF GRASSMANNIANS
Published 2017-01-01“…[Positivity and Kleiman transversality in equivariant $K$ -theory of homogeneous spaces, J. …”
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The K-theory of the conjugation action
Published 2021-09-01“…In 1999, Brylinski and Zhang computed the complex equivariant K-theory of the conjugation self-action of a compact, connected Lie group with torsion-free fundamental group. …”
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GLOBAL ACTIONS AND VECTOR $K$-THEORY
Published 2020-01-01“…Part II of the paper provides an exact sequence relating stability for the Volodin $K$-theory groups $K_{1,n}(R)$ and $K_{2,n}(R)$ to vector $K$-theory groups.…”
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Dimensional Reduction of Cobordism and K-theory
Published 2023-03-01“…Abstract It has been proposed that cobordism and K-theory groups, which can be mathematically related in certain cases, are physically associated to generalised higher-form symmetries. …”
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