搜索结果: 46-60 共查到“知识库 几何拓扑学”相关记录99条 . 查询时间(2.173 秒)
On Virtual Crossing Numbers for Virtual Knots
Knot virtual knot graph crossing number parity
2011/9/20
Abstract: The aim of the present paper is to prove that the minimal number of virtual crossings for some families of virtual knots grows quadratically with respect to the minimal number of classical c...
A Generalization of Turaev's Virtual String Cobracket
Turaev's Virtual String Cobracket Geometric Topology
2011/9/19
Abstract: In a previous paper, we defined an operation $\mu$ that generalizes Turaev's cobracket for loops on a surface. We showed that, in contrast to the cobracket, this operation gives a formula fo...
The link concordance invariant from Lee homology
link concordance invariant Lee homology Geometric Topology
2011/9/19
Abstract: We use the knot homology of Khovanov and Lee to construct link concordance invariants generalizing the Rasmussen $s$-invariant of knots. The relevant invariant for a link is a filtration on ...
Abstract: The state of a knot is defined in the realm of Chern-Simons topological quantum field theory as a holomorphic section on the SU(2) character manifold of the peripheral torus. We compute the ...
Geometry of the Homology Curve Complex
the Homology Curve Complex Geometry Geometric Topology
2011/9/14
Abstract: Suppose $S$ is a closed, oriented surface of genus $g \geq 2$. This paper investigates the geometry of the "homology multicurve complex", $\mathcal{HC}(S,\alpha)$, of $S$; a complex closely ...
Character algebras of decorated SL_2(C)-local systems
Character algebras decorated SL_2(C)-local systems Geometric Topology
2011/9/13
Abstract: Let S be a path-connected, locally-compact CW-complex, and let M be a subcomplex with finitely-many components. A `decorated SL_2(C)-local system' is an SL_2(C)-local system on S, together w...
Generalized blow-up of corners and fiber products
Generalized blow-up corners and fiber products Geometric Topology
2011/9/13
Abstract: Radial blow-up, including inhomogeneous versions, of boundary faces of a manifold (always with corners) is an important tool for resolving singularities, degeneracies and competing notions o...
The twisted Alexander polynomial for finite abelian covers over three manifolds with boundary
Reidemeister torsion:Twisted Alexander polynomial:branched cover:links:Homology orientation
2011/9/13
Abstract: We consider a sign--determined Reidemeister torsion with multivariables for three manifolds with boundary. This invariant is often called the twisted Alexander polynomial when we consider li...
Poincare duality and degrees of twisted Alexander polynomials
twisted Alexander polynomial Reidemeister torsion duality
2011/9/9
Abstract: We prove duality theorems for twisted Reidemeister torsions and twisted Alexander polynomials generalizing the results of Turaev. As a corollary we determine the parity of the degrees of twi...
Separating Curve Complex of the Genus Two Surface is Hyperbolic
Curve Complex the Genus Two Surface Hyperbolic Geometric Topology
2011/9/8
Abstract: A proof that the separating curve complex of the closed genus two surface has a quasi-distance formula and is delta hyperbolic using tools of Masur and Schleimer. This answers in the affirma...
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...