K이론

노트

위키데이터

• ID : Q15615154

말뭉치

1. After several attempts by different people, Quillen came with a simple construction, the so-called plus-construction, which gives rise to higher algebraic K-theory.
2. From the Preface: K-theory was introduced by A. Grothendieck in his formulation of the Riemann- Roch theorem.
3. It is this topological K-theory" that this book will study.
4. Topological K-theory has become an important tool in topology.
5. More specifically, twisted K-theory with twist H is a particular variant of K-theory, in which the twist is given by an integral 3-dimensional cohomology class.
6. It is special among the various twists that K-theory admits for two reasons.
7. In the broader context of K-theory, in each subject it has numerous isomorphic formulations and, in many cases, isomorphisms relating definitions in various subjects have been proven.
8. This more complicated construction of ordinary K-theory is naturally generalized to the twisted case.
9. In mathematics, K-theory is, roughly speaking, the study of a ring generated by vector bundles over a topological space or scheme.
10. In algebraic topology, it is a cohomology theory known as topological K-theory.
11. In algebra and algebraic geometry, it is referred to as algebraic K-theory.
12. In condensed matter physics K-theory has been used to classify topological insulators, superconductors and stable Fermi surfaces.
13. We show that the associated map from algebraic K-theory to Atiyah's Real K-theory is, after completion at two, an isomorphism on homotopy groups above the dimension of the variety.
14. The plan is for this to be a fairly short book focusing on topological K-theory and containing also the necessary background material on vector bundles and characteristic classes.
15. I talked to Hy Bass, the author of the classic book Algebraic K-theory, about what would be involved in writing such a book.
16. By this time (1995), the K-theory landscape had changed, and with it my vision of what my K-theory book should be.
17. After all, the new developments in Motivic Cohomology were affecting our knowledge of the K-theory of fields and varieties.
18. The Annals of K-Theory (AKT) has been established to serve as the premier journal in K-theory and associated areas of mathematics.
19. The Annals of K-Theory (AKT) welcomes excellent research papers in all areas of K-theory in its many forms.
20. K-theory originated in Grothendieck's insight that geometric phenomena can be studied via associated categories and their invariants.
21. Intended to be the premier journal in K-theory and related areas, AKT is led by a prestigious editorial board, mainly former members of the board of the Journal of K-Theory.
22. The K-Theory Foundation acknowledges the precious support of Foundation Compositio Mathematica, whose help has been instrumental in the launch of the Annals of K-Theory.
23. Journal of K-Theory is concerned with developments and applications of ideas and methodologies called K-theory.
24. The journal welcomes submissions in any of the areas above where K-theory plays a role.
25. from the first algebraic K-theory group of R R to its group of units which are given in components by the determinant functor.
26. This fact is sometimes used to motivate algebraic K-theory as a “generalization of linear algebra” (see e.g. this MO discussion).
27. Moreover, following the Brown representability theorem these groups should arise as the homotopy groups of a spectrum, the algebraic K-theory spectrum.
28. We recall several constructions of the algebraic K-theory of a ring.
29. K < h u h b B A pseudoscience results from a hyper-biased theory/methodology that produces net negative knowledge.
30. In this work, we use an LES to study the linkage between the nonlocal effects and failure of K theory inside vegetation canopies.
31. (4) and (6) are left with the gradient-diffusion parameterization (or K theory) where the fluxor, that is, a diffusivity multiplied by the gradient of velocity or temperature.
32. (6) it can be stated that the failure of K theory is associated with neglecting the triple-moment and buoyancy terms.
33. Evaluating K theory Figure 2 allows us to evaluate K theory for the simulated flow through the canopy.

메타데이터

위키데이터

• ID : Q15615154