搜索结果: 76-90 共查到“几何拓扑学”相关记录123条 . 查询时间(2.15 秒)
Finite-sided deformation spaces of complete affine 3-manifolds
Finite-sided deformation spaces complete affine 3-manifolds Geometric Topology
2011/9/6
Abstract: A Margulis spacetime is a complete affine 3-manifold M with nonsolvable fundamental group. Associated to every Margulis spacetime is a noncompact complete hyperbolic surface S. We show that ...
Abstract: Agol has conjectured that minimally twisted n-chain links are the smallest volume hyperbolic manifolds with n cusps, for n at most 10. In his thesis, Venzke mentions that these cannot be sma...
On Khovanov-Seidel quiver algebras and bordered Floer homology
Khovanov-Seidel quiver algebras bordered Floer homology Geometric Topology
2011/9/6
Abstract: We discuss a relationship between Khovanov- and Heegaard Floer-type homology theories for braids. Explicitly, we define a filtration on the bordered Heegaard-Floer homology bimodule associat...
The Akhmedov-Park exotic CP^2 # 2(-CP^2)
Akhmedov-Park Geometric Topology Algebraic Geometry
2011/9/9
Abstract: Here we draw a handlebody picture for the exotic CP^2 # 2(-CP^2) constructed by Akhmedov and Park.
Tangle sums and factorization of A-polynomials
Tangle sums factorization of A-polynomials Geometric Topology
2011/9/5
Abstract: We show that there exist infinitely many examples of pairs of knots, K_1 and K_2, that have no epimorphism $\pi_1(S^3\setminus K_1) \to \pi_1(S^3\setminus K_2)$ preserving peripheral structu...
Simply Connected Symplectic Calabi-Yau 6-Manifolds
Connected Symplectic Calabi-Yau 6-Manifolds Geometric Topology Algebraic Geometry
2011/9/5
Abstract: In this paper, we construct simply connected symplectic Calabi-Yau 6-manifolds by applying Gompf's symplectic fiber sum operation along $T^4$. Using our construction, we also produce symplec...
Abstract: In a finite-dimensional real vector space furnished with a rational structure with respect to a subfield of the field of real numbers, every (simplicial) rational semifan is contained in a c...
Linear topologies on $\Z$ are not Mackey topologies
Mackey-topology linear topology locally quasi-convex group p-adic topology compatible group topology
2011/9/6
Abstract: In this article it is shown that to every non-discrete Hausdorff linear topology on $\Z$ other metrizable locally quasi-convex group topologies can be associated which are strictly finer tha...
Computing the crosscap number of a knot using integer programming and normal surfaces
integer programming normal surfaces crosscap number of a knot Geometric Topology
2011/9/5
Abstract: The crosscap number of a knot is an invariant describing the non-orientable surface of smallest genus that the knot bounds. Unlike knot genus (its orientable counterpart), crosscap numbers a...
A Turaev surface approach to Khovanov homology
Khovanov homology Turaev surface Geometric Topology
2011/9/5
Abstract: We introduce Khovanov homology for ribbon graphs and show that the Khovanov homology of a certain ribbon graph embedded on the Turaev surface of a link is isomorphic to the Khovanov homology...
A rank inequality for the knot Floer homology of double branched covers
the knot Floer homology double branched covers Geometric Topology
2011/9/1
Abstract: Given a knot $K$ in $S^3$, let $\Sigma(K)$ be the double branched cover of $S^3$ over $K$. We show there is a spectral sequence whose $E^1$ page is $(\hat{HFK}(\Sigma(K), K) \otimes V^{n-1})...
An upper bound on common stabilizations of Heegaard splittings
Heegaard splitting Geometric Topology
2011/9/1
Abstract: We show that for any two Heegaard splittings of genus $p$ and $q$ for the same closed 3-manifold, there is a common stabilization of genus at most 3/2 p + 2q - 1. One may compare this to rec...
Cosmetic crossings of genus one knots
cosmetic crossing nugatory crossing Thurston norm pretzel knot Whitehead double
2011/9/1
Abstract: We show that for genus one knots the Alexander polynomial and the homology of the double cover branching over the knot provide obstructions to cosmetic crossings. As an application we prove ...
Knot Polynomials: Myths and Reality
Alexander polynomial Jones polynomial Homflypt polynomial Khovanov polynomial Kauffman polynomial factorizabitity primeness
2011/8/31
Abstract: This article provides an overview of relative strengths of polynomial invariants of knots and links, such as the Alexander, Jones, Homflypt, and Kaufman two-variable polynomial, Khovanov hom...
On `A characterization of R-Fuchsian groups acting on the complex hyperbolic plane'
R-Fuchsian groups complex hyperbolic plane Geometric Topology
2011/8/31
Abstract: We indicate a C-Fuchsian counter-example to the result with the above title announced at this http URL and prove a stronger statement.