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Journal of K-Theory最新文献

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K-theory, reality, and duality k理论，实在性和对偶性
Journal of K-Theory Pub Date : 2014-01-12 DOI: 10.1017/is014007001jkt275
Drew Heard, Vesna Stojanoska
{"title":"K-theory, reality, and duality","authors":"Drew Heard, Vesna Stojanoska","doi":"10.1017/is014007001jkt275","DOIUrl":"https://doi.org/10.1017/is014007001jkt275","url":null,"abstract":"We present a new proof of Anderson's result that the real K -theory spectrum is Anderson self-dual up to a fourfold suspension shift; more strongly, we show that the Anderson dual of the complex K -theory spectrum KU is C 2 -equivariantly equivalent to Σ 4 KU , where C 2 acts by complex conjugation. We give an algebro-geometric interpretation of this result in spectrally derived algebraic geometry and apply the result to calculate 2-primary Gross-Hopkins duality at height 1. From the latter we obtain a new computation of the group of exotic elements of the K (1)-local Picard group.","PeriodicalId":50167,"journal":{"name":"Journal of K-Theory","volume":"14 1","pages":"526-555"},"PeriodicalIF":0.0,"publicationDate":"2014-01-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1017/is014007001jkt275","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"56668992","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 32
Magnetoelastic coupling in strained La0.7Ca0.3MnO3//BaTiO3 Thin Films 应变La0.7Ca0.3MnO3//BaTiO3薄膜的磁弹性耦合
Journal of K-Theory Pub Date : 2013-12-16 DOI: 10.1557/OPL.2013.1198
A. Alberca, Jon Azpeitia-Urkia, J. Tornos, C. Munuera, F. Mompeán, N. Nemes, C. León, A. Hernando, T. Fehér, F. Simon, B. Kirby, M. Fitzsimons, J. Santamaria, M. García-Hernández
{"title":"Magnetoelastic coupling in strained La0.7Ca0.3MnO3//BaTiO3 Thin Films","authors":"A. Alberca, Jon Azpeitia-Urkia, J. Tornos, C. Munuera, F. Mompeán, N. Nemes, C. León, A. Hernando, T. Fehér, F. Simon, B. Kirby, M. Fitzsimons, J. Santamaria, M. García-Hernández","doi":"10.1557/OPL.2013.1198","DOIUrl":"https://doi.org/10.1557/OPL.2013.1198","url":null,"abstract":"","PeriodicalId":50167,"journal":{"name":"Journal of K-Theory","volume":"1587 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2013-12-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1557/OPL.2013.1198","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"67107557","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
A Thom-Porteous formula for connective K -theory using algebraic cobordism 用代数协数法求连接K理论的一个thomas - porteous公式
Journal of K-Theory Pub Date : 2013-10-03 DOI: 10.1017/is014005031jkt266
Thomas Hudson
{"title":"A Thom-Porteous formula for connective K -theory using algebraic cobordism","authors":"Thomas Hudson","doi":"10.1017/is014005031jkt266","DOIUrl":"https://doi.org/10.1017/is014005031jkt266","url":null,"abstract":"We prove a formula for the push-forward class of Bott-Samelson resolutions in the algebraic cobordism ring of the flag bundle. We specialise our formula to connective K-theory providing a geometric interpretation to the double β-polynomials of Fomin and Kirillov by computing the fundamental classes of Schubert varieties. As a corollary we obtain a Thom-Porteous formula generalising those of the Chow ring and of the Grothendieck ring of vector bundles.","PeriodicalId":50167,"journal":{"name":"Journal of K-Theory","volume":"14 1","pages":"343-369"},"PeriodicalIF":0.0,"publicationDate":"2013-10-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1017/is014005031jkt266","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"56668298","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 33
On lambda operations on mixed motives. 关于混合动机的lambda运算。
Journal of K-Theory Pub Date : 2013-10-01 DOI: 10.1017/IS013005008JKT231
S. Biglari
{"title":"On lambda operations on mixed motives.","authors":"S. Biglari","doi":"10.1017/IS013005008JKT231","DOIUrl":"https://doi.org/10.1017/IS013005008JKT231","url":null,"abstract":"","PeriodicalId":50167,"journal":{"name":"Journal of K-Theory","volume":"10 1","pages":"381-404"},"PeriodicalIF":0.0,"publicationDate":"2013-10-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"88312844","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 3
Geometric K-homology with coefficients II: The Analytic Theory and Isomorphism 带系数的几何k -同调II:解析理论与同构
Journal of K-Theory Pub Date : 2013-10-01 DOI: 10.1017/IS013007003JKT235
R. Deeley
{"title":"Geometric K-homology with coefficients II: The Analytic Theory and Isomorphism","authors":"R. Deeley","doi":"10.1017/IS013007003JKT235","DOIUrl":"https://doi.org/10.1017/IS013007003JKT235","url":null,"abstract":"We discuss the analytic aspects of the geometric model for Khomology with coefficients in Z/kZ constructed in [11]. In particular, using results of Rosenberg and Schochet, we construct a map from this geometric model to its analytic counterpart. Moreover, we show that this map is an isomorphism in the case of a finite CW-complex. The relationship between this map and the Freed-Melrose index theorem is also discussed. Many of these results are analogous to those of Baum and Douglas in the case of spinc manifolds, geometric K-homology, and Atiyah-Singer index theorem.","PeriodicalId":50167,"journal":{"name":"Journal of K-Theory","volume":"12 1","pages":"235-256"},"PeriodicalIF":0.0,"publicationDate":"2013-10-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1017/IS013007003JKT235","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"56667577","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 6
On a local to global principle in étale K-groups of curves 关于曲线k群的局部到全局原理
Journal of K-Theory Pub Date : 2013-08-01 DOI: 10.1017/IS013003030JKT13223
Grzegorz Banaszak, P. Krasoń
{"title":"On a local to global principle in étale K-groups of curves","authors":"Grzegorz Banaszak, P. Krasoń","doi":"10.1017/IS013003030JKT13223","DOIUrl":"https://doi.org/10.1017/IS013003030JKT13223","url":null,"abstract":"Let X be a smooth, proper and geometrically irreducible curve X defined over a number field F and let X be a regular and proper model of X over OF;Sl : In this paper we address the problem of detecting the linear dependence over Zl of elements in the etale K-theory of X : To be more specific, let P 2Ket 2n.X / and let O ƒ K 2n.X / be a Zl -submodule. Let rv W K 2n.X /! K 2n.Xv/ be the reduction map for v ... Sl . We prove, under some conditions on X; that if rv. O P / 2 rv. O ƒ/ for almost all v of OF;Sl then O P 2 O ƒCKet 2n.X /tor :","PeriodicalId":50167,"journal":{"name":"Journal of K-Theory","volume":"12 1","pages":"183-201"},"PeriodicalIF":0.0,"publicationDate":"2013-08-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1017/IS013003030JKT13223","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"56667964","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 5
Tame kernels and second regulators of number fields and their subfields 数域及其子域的驯服核和第二调节器
Journal of K-Theory Pub Date : 2013-08-01 DOI: 10.1017/IS013005031JKT229
J. Browkin, H. Gangl
{"title":"Tame kernels and second regulators of number fields and their subfields","authors":"J. Browkin, H. Gangl","doi":"10.1017/IS013005031JKT229","DOIUrl":"https://doi.org/10.1017/IS013005031JKT229","url":null,"abstract":"Assuming a version of the Lichtenbaum conjecture, we apply Brauer-Kuroda relations between the Dedekind zeta function of a number field and the zeta function of some of its subfields to prove formulas relating the order of the tame kernel of a number field F with the orders of the tame kernels of some of its subfields. The details are given for fields F which are Galois over ℚ with Galois group the group ℤ/2 × ℤ/2, the dihedral group D 2 p ; p an odd prime, or the alternating group A 4 . We include numerical results illustrating these formulas.","PeriodicalId":50167,"journal":{"name":"Journal of K-Theory","volume":"12 1","pages":"137-165"},"PeriodicalIF":0.0,"publicationDate":"2013-08-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1017/IS013005031JKT229","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"56667573","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 9
Cohomology for Generalized Bredon Coefficient Systems and Higher K -Theory 广义Bredon系数系统的上同调与高K理论
Journal of K-Theory Pub Date : 2013-08-01 DOI: 10.1017/IS012003026JKT188
A. Kuku
{"title":"Cohomology for Generalized Bredon Coefficient Systems and Higher K -Theory","authors":"A. Kuku","doi":"10.1017/IS012003026JKT188","DOIUrl":"https://doi.org/10.1017/IS012003026JKT188","url":null,"abstract":"","PeriodicalId":50167,"journal":{"name":"Journal of K-Theory","volume":"12 1","pages":"99-113"},"PeriodicalIF":0.0,"publicationDate":"2013-08-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1017/IS012003026JKT188","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"56666806","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Hermitian periodicity and cohomology of infinite orthogonal groups 无穷正交群的厄米周期性和上同调性
Journal of K-Theory Pub Date : 2013-08-01 DOI: 10.1017/IS013004016JKT224
A. Berrick, M. Karoubi, P. A. Østvær
{"title":"Hermitian periodicity and cohomology of infinite orthogonal groups","authors":"A. Berrick, M. Karoubi, P. A. Østvær","doi":"10.1017/IS013004016JKT224","DOIUrl":"https://doi.org/10.1017/IS013004016JKT224","url":null,"abstract":"As an application of our papers in hermitian K-theory, in favourable cases we prove the periodicity of hermitian K-groups with a shorter period than previously obtained. We also compute the homology and cohomology with field coefficients of infinite orthogonal and symplectic groups of specific rings of integers in a number field.","PeriodicalId":50167,"journal":{"name":"Journal of K-Theory","volume":"12 1","pages":"203-211"},"PeriodicalIF":0.0,"publicationDate":"2013-08-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1017/IS013004016JKT224","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"56668002","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Iwasawa Theory for K 2n k2n的Iwasawa理论
Journal of K-Theory Pub Date : 2013-08-01 DOI: 10.1017/IS013004020JKT225
Q. Ji, H. Qin
{"title":"Iwasawa Theory for K 2n","authors":"Q. Ji, H. Qin","doi":"10.1017/IS013004020JKT225","DOIUrl":"https://doi.org/10.1017/IS013004020JKT225","url":null,"abstract":"","PeriodicalId":50167,"journal":{"name":"Journal of K-Theory","volume":"12 1","pages":"115-123"},"PeriodicalIF":0.0,"publicationDate":"2013-08-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1017/IS013004020JKT225","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"56668013","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 1
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