Journal of Homotopy and Related Structures最新文献_第10页

Equivariant formality of isotropic torus actions 各向同性环面作用的等变形式

IF 0.5 4区数学

Journal of Homotopy and Related Structures Pub Date : 2018-07-24 DOI: 10.1007/s40062-018-0207-5

Jeffrey D. Carlson

引用次数: 7

Hopf-cyclic cohomology of the Connes–Moscovici Hopf algebras with infinite dimensional coefficients 无穷维系数的cones - moscovici Hopf代数的Hopf-循环上同调

IF 0.5 4区数学

Journal of Homotopy and Related Structures Pub Date : 2018-04-28 DOI: 10.1007/s40062-018-0205-7

B. Rangipour, S. Sütlü, F. Yazdani Aliabadi

引用次数: 2

A simplicial foundation for differential and sector forms in tangent categories 切线范畴中微分形式和扇形形式的一个简单基础

IF 0.5 4区数学

Journal of Homotopy and Related Structures Pub Date : 2018-04-26 DOI: 10.1007/s40062-018-0204-8

G. S. H. Cruttwell, Rory B. B. Lucyshyn-Wright

{"title":"A simplicial foundation for differential and sector forms in tangent categories","authors":"G. S. H. Cruttwell, Rory B. B. Lucyshyn-Wright","doi":"10.1007/s40062-018-0204-8","DOIUrl":"https://doi.org/10.1007/s40062-018-0204-8","url":null,"abstract":"Tangent categories provide an axiomatic framework for understanding various tangent bundles and differential operations that occur in differential geometry, algebraic geometry, abstract homotopy theory, and computer science. Previous work has shown that one can formulate and prove a wide variety of definitions and results from differential geometry in an arbitrary tangent category, including generalizations of vector fields and their Lie bracket, vector bundles, and connections. In this paper we investigate differential and sector forms in tangent categories. We show that sector forms in any tangent category have a rich structure: they form a symmetric cosimplicial object. This appears to be a new result in differential geometry, even for smooth manifolds. In the category of smooth manifolds, the resulting complex of sector forms has a subcomplex isomorphic to the de Rham complex of differential forms, which may be identified with alternating sector forms. Further, the symmetric cosimplicial structure on sector forms arises naturally through a new equational presentation of symmetric cosimplicial objects, which we develop herein.","PeriodicalId":49034,"journal":{"name":"Journal of Homotopy and Related Structures","volume":null,"pages":null},"PeriodicalIF":0.5,"publicationDate":"2018-04-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1007/s40062-018-0204-8","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"5386542","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 12

Gorenstein AC-projective complexes 戈伦斯坦ac投影复合体

IF 0.5 4区数学

Journal of Homotopy and Related Structures Pub Date : 2018-03-20 DOI: 10.1007/s40062-018-0203-9

James Gillespie

{"title":"Gorenstein AC-projective complexes","authors":"James Gillespie","doi":"10.1007/s40062-018-0203-9","DOIUrl":"https://doi.org/10.1007/s40062-018-0203-9","url":null,"abstract":"Let R be any ring with identity and ( Ch (R)) the category of chain complexes of (left) R-modules. We show that the Gorenstein AC-projective chain complexes of?[1] are the cofibrant objects of an abelian model structure on ( Ch (R)). The model structure is cofibrantly generated and is projective in the sense that the trivially cofibrant objects are the categorically projective chain complexes. We show that when R is a Ding-Chen ring, that is, a two-sided coherent ring with finite self FP-injective dimension, then the model structure is finitely generated, and so its homotopy category is compactly generated. Constructing this model structure also shows that every chain complex over any ring has a Gorenstein AC-projective precover. These are precisely Gorenstein projective (in the usual sense) precovers whenever R is either a Ding-Chen ring, or, a ring for which all level (left) R-modules have finite projective dimension. For a general (right) coherent ring R, the Gorenstein AC-projective complexes coincide with the Ding projective complexes of [31] and so provide such precovers in this case.","PeriodicalId":49034,"journal":{"name":"Journal of Homotopy and Related Structures","volume":null,"pages":null},"PeriodicalIF":0.5,"publicationDate":"2018-03-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1007/s40062-018-0203-9","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"5095229","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 6

Quasi-elliptic cohomology and its power operations 拟椭圆上同调及其幂运算

IF 0.5 4区数学

Journal of Homotopy and Related Structures Pub Date : 2018-03-07 DOI: 10.1007/s40062-018-0201-y

Zhen Huan

引用次数: 14

Degeneracies in quasi-categories 准范畴中的简并

IF 0.5 4区数学

Journal of Homotopy and Related Structures Pub Date : 2018-02-24 DOI: 10.1007/s40062-018-0199-1

Wolfgang Steimle

引用次数: 9

Homotopical algebra is not concrete 同邻代数不是具体的

IF 0.5 4区数学

Journal of Homotopy and Related Structures Pub Date : 2018-02-07 DOI: 10.1007/s40062-018-0197-3

Ivan Di Liberti, Fosco Loregian

引用次数: 1

On the odd primary homology of free algebras over the spectral lie operad 谱李算子上自由代数的奇初等同调

IF 0.5 4区数学

Journal of Homotopy and Related Structures Pub Date : 2017-12-07 DOI: 10.1007/s40062-017-0194-y

Jens Jakob Kjaer

引用次数: 9

Homotopy of planar Lie group equivariant presheaves 平面李群等变预轴的同伦

IF 0.5 4区数学

Journal of Homotopy and Related Structures Pub Date : 2017-11-02 DOI: 10.1007/s40062-017-0193-z

Scott Balchin

引用次数: 2

Module sectional category of products 模块分段类产品

IF 0.5 4区数学

Journal of Homotopy and Related Structures Pub Date : 2017-10-12 DOI: 10.1007/s40062-017-0192-0

J. G. Carrasquel, P.-E. Parent, L. Vandembroucq

引用次数: 1