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Motivic twisted Ktheory
, 2010
"... This paper sets out basic properties of motivic twisted Ktheory with respect to degree three motivic cohomology classes of weight one. Motivic twisted Ktheory is defined in terms of such motivic cohomology classes by taking pullbacks along the universal principal BGmbundle for the classifying spa ..."
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Cited by 2 (1 self)
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This paper sets out basic properties of motivic twisted Ktheory with respect to degree three motivic cohomology classes of weight one. Motivic twisted Ktheory is defined in terms of such motivic cohomology classes by taking pullbacks along the universal principal BGmbundle for the classifying
Twisted Ktheory and Poincaré duality
, 2008
"... Using methods of KKtheory, we generalize Poincaré Kduality to the framework of twisted Ktheory. ..."
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Using methods of KKtheory, we generalize Poincaré Kduality to the framework of twisted Ktheory.
Twisted Ktheory of differentiable stacks
 ANN. SCI. ÉCOLE NORM. SUP
, 2004
"... In this paper, we develop twisted Ktheory for stacks, where the twisted class is given by an S 1gerbe over the stack. General properties, including the Mayer–Vietoris property, Bott periodicity, and the product structure K i α ⊗K j β → Ki+j α+β are derived. Our approach provides a uniform framew ..."
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Cited by 75 (13 self)
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In this paper, we develop twisted Ktheory for stacks, where the twisted class is given by an S 1gerbe over the stack. General properties, including the Mayer–Vietoris property, Bott periodicity, and the product structure K i α ⊗K j β → Ki+j α+β are derived. Our approach provides a uniform
TWISTED K THEORY INVARIANTS
, 2004
"... Abstract An invariant for twisted K theory classes on a 3manifold is introduced. The invariant is then applied to the twisted equivariant classes arising from the supersymmetric WessZuminoWitten model based on the group SU(2). It is shown that the classes defined by different highest weight repre ..."
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Cited by 2 (0 self)
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Abstract An invariant for twisted K theory classes on a 3manifold is introduced. The invariant is then applied to the twisted equivariant classes arising from the supersymmetric WessZuminoWitten model based on the group SU(2). It is shown that the classes defined by different highest weight
Dbranes and twisted Ktheory
"... Topological charges of the D6brane in the presence of a NeveuSchwarz Bfield are computed by methods of twisted Ktheory. Keywords: Dbranes, NeveuSchwarz Bfield, Twisted Ktheory, Dbranes are topological solitons, which charges are described by Grothendieck Kgroups [1]. We begin our considera ..."
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Cited by 1 (0 self)
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Topological charges of the D6brane in the presence of a NeveuSchwarz Bfield are computed by methods of twisted Ktheory. Keywords: Dbranes, NeveuSchwarz Bfield, Twisted Ktheory, Dbranes are topological solitons, which charges are described by Grothendieck Kgroups [1]. We begin our
DIFFERENTIAL TWISTED KTHEORY AND APPLICATIONS
, 2007
"... In this paper, we develop differential characters in twisted Ktheory and use them to define a twisted Chern character. In the usual formalism the ‘twist’ is given by a degree three Čech class while we work with differential twisted Ktheory with twisting given by a degree 3 Deligne class. This res ..."
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Cited by 9 (1 self)
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In this paper, we develop differential characters in twisted Ktheory and use them to define a twisted Chern character. In the usual formalism the ‘twist’ is given by a degree three Čech class while we work with differential twisted Ktheory with twisting given by a degree 3 Deligne class
Twisted Ktheory of Lie groups
"... I determine the twisted K–theory of all compact simply connected simple Lie groups. The computation reduces via the Freed–Hopkins–Teleman theorem [1] to the CFT prescription, and thus explains why it gives the correct result. Finally I analyze the exceptions noted by Bouwknegt et al [2].CONTENTS 1 ..."
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Cited by 33 (2 self)
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I determine the twisted K–theory of all compact simply connected simple Lie groups. The computation reduces via the Freed–Hopkins–Teleman theorem [1] to the CFT prescription, and thus explains why it gives the correct result. Finally I analyze the exceptions noted by Bouwknegt et al [2].CONTENTS 1
Twisted KTheory and KTheory of Bundle Gerbes
 COMMUN. MATH. PHYS
, 2002
"... In this note we introduce the notion of bundle gerbe Ktheory and investigate the relation to twisted Ktheory. We provide some examples. Possible applications of bundle gerbe Ktheory to the classification of Dbrane charges in nontrivial backgrounds are briefly discussed. ..."
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Cited by 140 (32 self)
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In this note we introduce the notion of bundle gerbe Ktheory and investigate the relation to twisted Ktheory. We provide some examples. Possible applications of bundle gerbe Ktheory to the classification of Dbrane charges in nontrivial backgrounds are briefly discussed.
Twisted Ktheory and Loop groups
 Proceedings of the International Congress of Mathematicians, Vol. III (Beijing
"... Abstract. Twisted Ktheory has received much attention recently in both mathematics and physics. We describe some models of twisted Ktheory, both topological and geometric. Then we state a theorem which relates representations of loop groups to twisted equivariant Ktheory. This is joint work with ..."
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Cited by 23 (2 self)
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Abstract. Twisted Ktheory has received much attention recently in both mathematics and physics. We describe some models of twisted Ktheory, both topological and geometric. Then we state a theorem which relates representations of loop groups to twisted equivariant Ktheory. This is joint work
Results 1  10
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110,719