搜索结果: 31-45 共查到“知识库 代数拓扑学”相关记录72条 . 查询时间(1.507 秒)
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 ...
Nilpotent $p$-local finite groups
nilpotent p-local fusion p-local finite group fusion system
2011/9/21
Abstract: In this paper we prove characterizations of $p$-nilpotency for fusion systems and $p$-local finite groups that are inspired by results in the literature for finite groups. In particular, we ...
Hairy graphs and the unstable homology of Mod(g,s), Out(F_n) and Aut(F_n)
Hairy graphs Algebraic Topology
2011/9/20
Abstract: For every cyclic operad O there is an associated Lie algebra hO of positive degree symplectic derivations. For the associative and Lie operads, Kontsevich used his graph homology theory to p...
Localising subcategories for cochains on the classifying space of a finite group
classifying space finite group Localising subcategories
2011/9/20
Abstract: The localising subcategories of the derived category of the cochains on the classifying space of a finite group are classified. They are in one to one correspondence with the subsets of the ...
Abstract: We construct an inverse system of unstable Vassiliev spectral sequences on the spaces of plumbers' knots, which model the homotopy type of the space of long knots, and show that the limit of...
Parametrized Ring-Spectra and the Nearby Lagrangian Conjecture
Parametrized Ring-Spectra the Nearby Lagrangian Conjecture Symplectic Geometry
2011/9/19
Abstract: We prove that any closed connected exact Lagrangian manifold L in a connected cotangent bundle T*N is up to a finite covering space lift a homology equivalence. We prove this by constructing...
Dynamics of random selfmaps of surfaces with boundary
periodic points generic properities surface remnant asymptotic density Nielsen theory entropy
2011/9/16
Abstract: We use Wagner's algorithm to estimate the number of periodic points of certain selfmaps on compact surfaces with boundary. When counting according to homotopy classes, we can use the asympto...
Abstract: We introduce the notion of an induced 2-crossed module, which extends the notion of an induced crossed module (Brown and Higgins).
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...
Abstract: Let $B$ be a finite CW complex and $G$ a compact connected Lie group. We show that the number of gauge groups of principal $G$-bundles over $B$ is finite up to $A_n$-equivalence for $n<\inft...
Abelianizations of derivation Lie algebras of free associative algebra and free Lie algebra
moduli space of curves Lie algebra homology graph homology derivation
2011/9/14
Abstract: We determine the abelianizations of the following three kinds of graded Lie algebras in a certain stable range: derivations of the free associative algebra, derivations of the free Lie algeb...
The Equivariant Slice Filtration: a Primer
The Equivariant Slice Filtration Primer Algebraic Topology
2011/9/14
Abstract: We present an introduction to the equivariant slice filtration. After reviewing the definitions and basic properties, we determine the slice dimension of various families of naturally arisin...
Computing the homology of groups: the geometric way
homology of groups the geometric way Algebraic Topology
2011/9/14
Abstract: In this paper we present several algorithms related with the computation of the homology of groups, from a geometric perspective (that is to say, carrying out the calculations by means of si...
Abstract: In this paper we prove that the inductive cocategory of a nilpotent $CW$-complex of finite type $X$, $\indcocat X$, is bounded above by an expression involving the inductive cocategory of th...
On the Space of Symmetric Operators with Multiple Ground States
Symmetric Operators Multiple Ground States Algebraic Topology
2011/9/9
Abstract: We study homological structure of the filtrations of the space of self-adjoint operators by the multiplicity of the ground state. We consider only operators acting in a finite dimensional co...