搜索结果: 46-60 共查到“几何拓扑学”相关记录124条 . 查询时间(1.406 秒)
We show that the Kakimizu complex of minimal genus Seifert surfaces for a knot in the 3-sphere is quasi-isometric to a Euclidean integer lattice $\mathbb Z^n$ for some $n \geq 0$.
HF=HM V: Seiberg-Witten-Floer homology and handle addition
Seiberg-Witten-Floer homology handle addition Geometric Topology
2012/4/17
This is the last of five papers that construct an isomorphism between the Seiberg-Witten Floer homology and the Heegaard Floer homology of a given compact, oriented 3-manifold.
On the existence of stable compact leaves for transversely holomorphic foliations
Holomorphic foliation holonomy stable leaf
2012/4/17
A transversely holomorphic foliation on a compact complex manifold, exhibits a compact stable leaf if and only if the set of compact leaves is not a zero measure subset of the manifold.
Skein algebras and cluster algebras of marked surfaces
Skein algebras cluster algebras marked surfaces Quantum Algebra Geometric Topology
2012/4/17
This paper defines several algebras associated to an oriented surface S with a finite set of marked points on the boundary. The first is the skein algebra Sk_q(S), which is spanned by links in the sur...
Prime component-preservingly amphicheiral link with odd minimal crossing number
component-preservingly amphicheiral link minimal crossing number Tait's conjecture
2012/3/1
For every odd integer $c\ge 21$, we raise an example of a prime component-preservingly amphicheiral link with minimal crossing number $c$.
On visualization of the linearity problem for mapping class groups of surfaces
visualization linearity problem mapping class groups surfaces
2012/3/1
We derive two types of linearity conditions for mapping class groups of orientable surfaces; one for once-punctured surface, and the other for closed surface, respectively. For the once-punctured case...
$Top(X)$ within $\px$ ]{When lattices meet topology: $Top(X)$ within $\px$.}
$Top(X)$ within $\px$ lattices meet topology
2012/2/29
For a non-empty set $X$, the collection $Top(X)$ of all topologies on $X$ sits inside the Boolean lattice $\PP(\PP(X))$ (when ordered by set-theoretic inclusion) which in turn can be naturally identif...
2011年8月11日，中国科学院数学与系统科学研究院召开2011年度学术委员会第二次工作会议。会议由学术委员会主任杨乐院士主持。
Finiteness of nonzero degree maps between three-manifolds
Finiteness of nonzero degree maps three-manifolds Geometric Topology
2011/9/22
Abstract: In this paper, we prove that every orientable closed 3-manifold dominates at most finitely many homeomorphically distinct irreducible non-geometric 3-manifolds. Moreover, for any integer $d>...
Abstract: Heegaard Floer theory is a kind of topological quantum field theory, assigning graded groups to closed, connected, oriented 3-manifolds and group homomorphisms to smooth, oriented 4-dimensio...
Systole et rayon maximal des variétés hyperboliques non compactes
Hyperbolic Manifolds Cusps Systole and Inradius
2011/9/23
Abstract: We bound two global invariants of cusped hyperbolic manifolds: the length of the shortest closed geodesic (the systole), and the radius of the biggest embedded ball (the inradius). We give a...
On the Associativity of Gluing
Morse theory negative gradient trajectories associativity of gluing compactified Moduli spaces manifold with faces
2011/9/22
Abstract: This paper studies the associativity of gluing of trajectories in Morse theory. We show that the associativity of gluing follows from of the existence of compatible manifold with face struct...
On the Kauffman-Vogel and the Murakami-Ohtsuki-Yamada Graph Polynomials
Kauffman polynomial HOMFLY-PT polynomia Geometric Topology
2011/9/21
Abstract: This paper consists of three parts. First, we generalize the Jaeger Formula to express the Kauffman-Vogel graph polynomial as a state sum of the Murakami-Ohtsuki-Yamada graph polynomial.
Covolumes of nonuniform lattices in PU(n, 1)
Covolumes of nonuniform lattices Geometric Topology
2011/9/21
Abstract: This paper studies the covolumes of nonuniform arithmetic lattices in PU(n, 1). We determine the smallest covolume nonuniform arithmetic lattices for each n, the number of minimal covolume l...
On overtwisted, right-veering open books
Contact surgery destabilizable diffeomorphisms Giroux’s correspondence open books overtwisted contact structures
2011/9/21
Abstract: We exhibit infinitely many overtwisted, right-veering, non-destabilizable open books, thus providing infinitely many counterexamples to a conjecture of Honda-Kazez-Matic. The page of all our...