搜索结果: 1-6 共查到“知识库 代数拓扑学 cohomology”相关记录6条 . 查询时间(0.078 秒)
Sharp vanishing thresholds for cohomology of random flag complexes
Sharp vanishing thresholds cohomology random flag complexes Algebraic Topology
2012/7/11
We exhibit a sharp threshold for vanishing of rational cohomology in random flag complexes, providing a generalization of the Erd\H{o}s-R\'enyi theorem. As a corollary, almost all d-dimensional flag c...
Cutting description of trivial 1-cohomology
Cutting description trivial 1-cohomology Algebraic Topology
2012/6/30
As an exercise in Morse theory and Eilenberg-MacLane spectrum, we propose a topological description of trivial first cohomology in terms of cutting properties of open sets.
Cohomology of Kac-Moody groups over a finite field
Cohomology classifying spaces Kac-Moody groups
2012/6/26
We compute the mod $p$ cohomology algebra of a family of infinite discrete Kac-Moody groups of rank two defined over finite fields of characteristic different from $p$.
Central cohomology operations and K-theory
K-theory operations cobordism Algebraic Topology
2012/4/16
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 corresp...
On the equivariant cohomology of rotation groups and Stiefel manifolds
cohomology of rotation groups Stiefel manifolds Algebraic Topology
2011/9/22
Abstract: In this paper, we compute the $RO(\mathbb{Z}/2)$-graded equivariant cohomology of rotation groups and Stiefel manifolds with particular involutions.
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...