منابع مشابه
TWISTED K - HOMOLOGY THEORY , TWISTED Ext - THEORY
These are notes on twisted K-homology theory and twisted Ext-theory from the C *-algebra viewpoint, part of a series of talks on " C *-algebras, noncommutative geometry and K-theory " , primarily for physicists.
متن کاملTwisted bundles and twisted K-theory
Many papers have been devoted recently to twisted K-theory as originally defined in [15] and [29]. See for instance the references [2], [23] and the very accessible paper [30]. We offer here a more direct approach based on the notion of “twisted vector bundles”. This is not an entirely new idea, since we find it in [4], [6], [7], [8] and [9] for instance, under different names and from various ...
متن کاملSome Spectral Sequences in Morava E-theory
Morava E-theory is a much-studied theory important in understanding K(n)-local stable homotopy theory, but it is not a homology theory in the usual sense. The object of this paper is to show that the usual computational methods, spectral sequences, used to compute with homology theories also apply to Morava E-theory. Conceptually, we show that Morava E-theory is n derived functors away from bei...
متن کاملMorava E-theory of Filtered Colimits
Morava E-theory E∨ n∗(−) is a much-studied theory in algebraic topology, but it is not a homology theory in the usual sense, because it fails to preserve coproducts (resp. filtered homotopy colimits). The object of this paper is to construct a spectral sequence to compute the Morava E-theory of a coproduct (resp. filtered homotopy colimit). The E2 term of this spectral sequence involves the der...
متن کاملTwisted K-theory and K-theory of Bundle Gerbes
In this note we introduce the notion of bundle gerbe K-theory and investigate the relation to twisted K-theory. We provide some examples. Possible applications of bundle gerbe K-theory to the classification of D-brane charges in nontrivial backgrounds are briefly discussed.
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ژورنال
عنوان ژورنال: Journal of Topology
سال: 2015
ISSN: 1753-8416,1753-8424
DOI: 10.1112/jtopol/jtv020