A Twisted Version of Controlled K-theory
نویسندگان
چکیده
Abstract There are a number of (co-)homology theories on coarse spaces. Controlled operator K -theory is by far the most popular one them. Our approach geometric. We study when does Roe-algebra space restrict to subspace. Then we show cosheaf topology. A result Mayer–Vietoris exact sequence in presence cover. compute examples as an application.
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.
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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...
متن کاملTwisted K-Theory as a BRST Cohomology
We use the BRST formalism to classify the gauge orbits of type II string theory’s Ramond-Ramond (RR) field strengths under large RR gauge transformations of the RR gauge potentials. We find that this construction is identical to the AtiyahHirzebruch spectral sequence construction of twisted K-theory, where the AtiyahHirzebruch differentials are the BRST operators. The actions of the large gauge...
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ژورنال
عنوان ژورنال: Journal of Geometric Analysis
سال: 2023
ISSN: ['1559-002X', '1050-6926']
DOI: https://doi.org/10.1007/s12220-022-01167-9