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 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.
متن کاملThe Loop Group of E8 and K-Theory from 11d
We examine the conjecture that an 11d E8 bundle, appearing in the calculation of phases in the M-Theory partition function, plays a physical role in M-Theory, focusing on consequences for the classification of string theory solitons. This leads for example to a classification of IIA solitons in terms of that of LE8 bundles in 10d. Since K(Z , 2) approximates LE8 up to π14, this reproduces the K...
متن کاملTwisted K-Theory from Monodromies
RR fluxes representing different cohomology classes may correspond to the same twisted K-theory class. We argue that such fluxes are related by monodromies, generalizing and sometimes T-dual to the familiar monodromies of a D7-brane. A generalized “theta angle” is also transformed, but changes by a multiple of 2π. As an application, NS5-brane monodromies modify the twisted K-theory classificati...
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ژورنال
عنوان ژورنال: Communications in Mathematical Physics
سال: 2010
ISSN: 0010-3616,1432-0916
DOI: 10.1007/s00220-010-1108-6