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Differential equivariant Ktheory
"... Following Hopkins and Singer, we give a definition for the differential equivariant Ktheory of a smooth manifold acted upon by a finite group. The ring structure for differential equivariant Ktheory is developed explicitly. We also construct a pushforward map which parallels the topological pushfo ..."
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Following Hopkins and Singer, we give a definition for the differential equivariant Ktheory of a smooth manifold acted upon by a finite group. The ring structure for differential equivariant Ktheory is developed explicitly. We also construct a pushforward map which parallels the topological
Equivariant Ktheory and equivariant cohomology
, 1999
"... Abstract. For T an abelian compact Lie group, we give a description of Tequivariant Ktheory with complex coefficients in terms of equivariant cohomology. In the appendix we give applications of this by extending results of ChangSkjelbred and GoreskyKottwitzMacPherson from equivariant cohomology ..."
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Abstract. For T an abelian compact Lie group, we give a description of Tequivariant Ktheory with complex coefficients in terms of equivariant cohomology. In the appendix we give applications of this by extending results of ChangSkjelbred and GoreskyKottwitzMacPherson from equivariant
Schubert Classes in the Equivariant KTheory
, 2005
"... We give positive formulas for the restriction of a Schubert Class to a Tfixed point in the equivariant Ktheory and equivariant cohomology of the Grassmannian. ..."
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We give positive formulas for the restriction of a Schubert Class to a Tfixed point in the equivariant Ktheory and equivariant cohomology of the Grassmannian.
COMPLETIONS OF HIGHER EQUIVARIANT KTHEORY
, 906
"... Abstract. For a linear algebraic group G acting on a smooth variety X over an algebraically closed field k of characteristic zero, we prove a version of nonabelian localization theorem for the rational higher equivariant Ktheory of X. This is then used to establish a RiemannRoch theorem for the co ..."
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Abstract. For a linear algebraic group G acting on a smooth variety X over an algebraically closed field k of characteristic zero, we prove a version of nonabelian localization theorem for the rational higher equivariant Ktheory of X. This is then used to establish a RiemannRoch theorem
BASES IN EQUIVARIANT KTHEORY. II
"... Abstract. In this paper we establish a connection between the “bases ” in Bases in equivariant Ktheory, Represent. Theory2(1999), 298369 and the periodic Wgraphs introduced in Periodic Wgraphs, Represent. Theory 1 (1997), 207–279. ..."
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Abstract. In this paper we establish a connection between the “bases ” in Bases in equivariant Ktheory, Represent. Theory2(1999), 298369 and the periodic Wgraphs introduced in Periodic Wgraphs, Represent. Theory 1 (1997), 207–279.
KTWISTED EQUIVARIANT KTHEORY FOR SU(N)
, 2003
"... We present a version of twisted equivariant KtheoryKtwisted equivariant Ktheory, and use Grothendieck differentials to compute the Ktwisted equivariant Ktheory of simple simply connected Lie groups. We did the calculation explicitly for SU(N) explicitly. The basic idea is to interpret an equiv ..."
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We present a version of twisted equivariant KtheoryKtwisted equivariant Ktheory, and use Grothendieck differentials to compute the Ktwisted equivariant Ktheory of simple simply connected Lie groups. We did the calculation explicitly for SU(N) explicitly. The basic idea is to interpret
Twisted equivariant Ktheory with complex coefficients
, 2008
"... Using a global version of the equivariant Chern character, we describe an effective method for computing the complexified twisted equivariant Ktheory of a space ..."
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Using a global version of the equivariant Chern character, we describe an effective method for computing the complexified twisted equivariant Ktheory of a space
Rigidity for equivariant Ktheory
"... We extend the classical rigidity results for Ktheory to the equivariant setting of algebraic group actions. Following the work of Andrei Suslin on ordinary Kgroups, these results can be considered as first steps toward an explicit computation of ..."
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We extend the classical rigidity results for Ktheory to the equivariant setting of algebraic group actions. Following the work of Andrei Suslin on ordinary Kgroups, these results can be considered as first steps toward an explicit computation of
Results 1  10
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28,114