搜索结果: 1-12 共查到“应用数学 homology”相关记录12条 . 查询时间(0.049 秒)
Tree homology and a conjecture of Levine
Levine conjecture tree homology homology cylinders Whitney towers
2011/1/21
In his study of the group of homology cylinders, J. Levine [19] made the con-jecture that a certain homomorphism 0 : T ! D0 is an isomorphism. Here T is an abelian group on labeled oriented trees, an...
Symplectic homology product via Legendrian surgery
Symplectic homology product Legendrian surgery
2011/2/23
This research announcement continues the study of the symplectic homology of Weinstein manifolds undertaken in [2] where the symplectic homology, as a vector space, was expressed in terms of the Legen...
An elementary construction of Khovanov-Rozansky type link homology
elementary construction Khovanov-Rozansky type link homology
2011/2/22
In this article, we give an elementary construction of sl(n)-homological invariants of links presented by braid forms. The Euler characteristic of this complex is equal to sl(n) quantum polynomial inv...
Rational knot concordance and homology cobordism
Rational knot concordance homology cobordism
2010/11/24
The following is a long-standing open question: "If the zero-framed surgeries on two knots in the 3-sphere are integral homology cobordant, are the knots themselves concordant?" We show that an obvio...
Heegaard Floer Homology and Triple Cup Products
Heegaard Floer Homology Triple Cup Products
2010/11/23
We give a complete calculation of the infinity flavor of Heegaard Floer homology with mod 2 coefficients for all three-manifolds and torsion Spin^c structures. The computation agrees with the conjectu...
Determining When The Universal Abelian Cover of a Graph Manifold is a Rationla Homology Sphere
Universal Abelian Cover Graph Rationla Homology Sphere
2010/11/8
It was shown in my earlier article that the splice diagram of a rational homology sphere graph manifold determines the manifolds universal abelian cover. In this article we use the proof of this to g...
Heegaard Floer homology and integer surgeries on links
Heegaard Floer homology integer surgeries on links
2010/11/11
Let L be a link in an integral homology three-sphere. We give a description of the Heegaard Floer homology of integral surgeries on L in terms of some data associated to L, which we call a complete sy...
The growth rate of symplectic homology and affine varieties
The growth rate symplectic homology affine varieties
2010/11/18
We will show that the cotangent bundle of an integrally hyperbolic manifold is not symplectomorphic to any smooth affine variety. We will also show that the unit cotangent bundle of such a manifold is...
Bordered Floer homology and the branched double cover I
Floer homology branched double cover I
2010/11/9
Given a link in the three-sphere, Z. Szab\'o and the second author constructed a spectral sequence starting at the Khovanov homology of the link and converging to the Heegaard Floer homology of its br...
Chern-Simons invariants, SO(3) instantons, and Z/2-homology cobordism
Chern-Simons invariants SO(3) instantons Z/2-homology cobordism
2010/12/14
We review the SO(3) instanton gauge theory of Fintushel and Stern and recast it in the context of 4-manifolds with cylindrical ends. Appli-cations to the Z/2 homology cobordism group of Z/2 homology 3...
Hochschild and cyclic homology of $\rho $-algebras
noncommutative geometry Hochschild and cyclic homology ½ -algebras quaternionic algebra
2009/2/23
In this paper we present our construction of the Hochschild
and cyclic homology of a ½-algebra. We show that these constructions
are generalizations of the Hochschild homology and cyclic homo...
Hochschild and cyclic homology of ½-algebras
noncommutative geometry Hochschild and cyclic homology ½ -algebras quaternionic algebra
2009/1/7
In this paper we present our construction of the Hochschild
and cyclic homology of a ½-algebra. We show that these constructions
are generalizations of the Hochschild homology and cyclic homo...