搜索结果: 1-15 共查到“数学 homotopy”相关记录50条 . 查询时间(0.069 秒)
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Unstable homotopy groups of indecomposable A_3^2-complexes
不可分解 A_3^2 配合物 不稳定 同伦群
2023/4/14
In this talk, I will introduce the methods for calculating the unstable homotopy groups of finite CW-complexes which builds on works of the relative James construction initiated by B. Gray in 1973 and...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：A deformation of Borel equivariant homotopy
博雷尔等变 同伦变形 R-动力稳定
2023/4/18
The R-motivic stable homotopy category has a close connection to the C2-equivariant category via the C2-equivariant Betti realization map.
For the bigraded homotopy groups, the C2-equivariant spectra...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Periodic Phenomena in homotopy theory
同伦理论 周期现象
2023/4/25
Chromatic homotopy theory uses the algebraic geometry of smooth 1-parameter formal groups to separate stable homotopy theory into periodic layers. The 1st layer recovers the image of Adams’ J homomorp...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Suspension Homotopy of 4-manifolds And the Second 2-local Cohomotopy Sets
4-流形 悬浮同伦 第二个 2-局部 同伦集合
2023/4/28
In this talk we study the homotopy type of the (double) suspension of an orientable, closed, connected 4-manifold M, whose integral homology can have 2-torsion. Moreover, the decomposition results are...
Structured Stable Homotopy Theory and the Descent Problem for the Algebraic K-theory of Fields
Structured Stable Homotopy Theory Algebraic K-theory
2015/7/7
his is a relative result which asserts that the K-theory spectra of any two
algebraically closed fields of a given characteristic are equivalent to each other
after completion at a prime not e...
Operads, homotopy algebra and iterated integrals for double loop spaces
Operads homotopy algebra iterated integrals double loop spaces
2015/3/25
This paper provides some background to the theory of operads, used in the first author's papers on 2d topological field theory (hep-th/921204, CMP 159 (1994), 265-285; hep-th/9305013). It is intended ...
A colimit decomposition for homotopy algebras in Cat
A colimit decomposition homotopy algebras Cat Category Theory
2012/6/25
Badzioch showed that in the category of simplicial sets each homotopy algebra of a Lawvere theory is weakly equivalent to a strict algebra. In seeking to extend this result to other contexts Rosicky o...
The Homotopy Sequence of Nori's Fundamental Group
The Homotopy Sequence of Nori's Fundamental Group Algebraic Geometry
2012/6/18
In this paper, we investigate the necessary sufficient conditions for the exactness of the homotopy sequence of Nori's fundamental group and apply these to various special situations to regain some cl...
Homotopy coherent diagrams and approximate fibrations
Approximate fibration homotopy coherence ENR
2011/9/21
Abstract: Let p be a fibration over a finite simplicial complex, whose fibers have the homotopy type of finite simplicial complexes. Then p is equivalent to an approximate fibration whose total space ...
Higher homotopy operations and Andr?Quillen cohomology
Higher homotopy operations Andre-Quillen cohomology homotopycommutative diagram k-invariants obstruction theory
2011/9/15
Abstract: There are two main approaches to the problem of realizing a $\Pi$-algebra (a graded group $\Lambda$ equipped with an action of the primary homotopy operations) as the homotopy groups of a sp...
Lie algebroid modules and representations up to homotopy
Lie algebroid representation up to homotopy graded manifold graded vector bundle Q-manifold
2011/8/30
Abstract: We explain how Lie algebroid modules in the sense of Vaintrob provide geometric models for Lie algebroid representations up to homotopy. Specifically, we show that there is a noncanonical wa...
Homotopy categories and idempotent completeness, weight structures and weight complex functors
Homotopy category idempotent completeness weight structure w-structure weight complex functor
2011/8/26
Abstract: This article provides some basic results on weight structures, weight complex functors and homotopy categories. We prove that the full subcategories K(A)^{w < n}, K(A)^{w > n}, K(A)^- and K(...
On the existence of exotic homotopy 3-spheres
Homotopy spheres 3-manifold topology Morse theory
2011/1/17
This paper gives a geometric topological proof that exotic ho-motopy 3-spheres do not exist.
Localisation and Completion with an addendum on the use of Brown-Peterson homology in stable homotopy
Localisation Completion addendum
2011/2/25
In spring 1973 Frank Adams gave a course at the University of Chicago on localisation and completion. This was in the very early days of the subject,which arose from disparate constructions of Quillen...
Homotopy perturbation method for Chebyshev and Legendre equations
Homotopy Perturbation Method Ordinary Differential Equations
2010/9/26
In this paper, we implement the Homotopy Perturbation Method to obtain the solutions of Chebyshev and Legendre differential equations. The exact solution will be find by constructing an efficient homo...