منابع مشابه
Lambda operations, K theory and motivic cohomology
This paper is in two parts: in part one, our main object is to give a construction of natural λ-operations for relative K-theory with supports, satisfying the special λ-ring identities. In the second part, we give an application to the relation of motivic cohomology and algebraic K-theory of a smooth quasi-projective variety over a field. The main idea in the construction of the λ-operations is...
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For stable degree zero operations, and also for additive unstable operations of bidegree (0, 0), it is known that the centre of the ring of operations for complex cobordism is isomorphic to the corresponding ring of connective complex K-theory operations. Similarly, the centre of the ring of BP operations is the corresponding ring for the Adams summand of p-local connective complex K-theory. He...
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We examine some of the basic properties satisfied by Bloch’s cycle complexes for quasi-projective varieties over a field, and extend some of them to the cycle complex of a scheme of finite type over a regular dimension one base. We also give an extension to the simplicial spectra in the niveau tower of the cosimplicial scheme ∆∗ X . As applications, we show that the AtiyahHirzebruch spectral se...
متن کاملWeight one motivic cohomology and K-theory
We study a filtration of the algebraic K-theory spectrum of a smooth variety whose “layers” ought to give the motivic cohomology groups. The central result is a computation of the weight one layer of the filtration. The computations show that the homotopy groups of the weight one piece coincides with the weight one motivic cohomology groups, thus providing evidence that the filtration is correc...
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: Proceedings of the Edinburgh Mathematical Society
سال: 2014
ISSN: 0013-0915,1464-3839
DOI: 10.1017/s0013091513000680