Results 51 to 60 of about 253 (87)

Dehn surgery, homology and hyperbolic volume [PDF]

, 2005
If a closed, orientable hyperbolic 3‐manifold M has volume at most 1.22 then H1.MIZp/ has dimension at most 2 for every prime p⁄ 2;7, and H1.MIZ2/ and H1.MIZ7/ have dimension at most 3. The proof combines several deep results about hyperbolic 3‐manifolds.
I. Agol, M. Culler, P. Shalen
semanticscholar   +1 more source

The classification of rational subtangle replacements between rational tangles [PDF]

, 2013
A natural generalization of a crossing change is a rational subtangle replacement (RSR). We characterize the fundamental situation of the rational tangles obtained from a given rational tangle via RSR, building on work of Berge and Gabai, and determine ...
K. L. Baker, D. Buck
semanticscholar   +1 more source

A Jones polynomial for braid-like isotopies of oriented links and its categorification, Algebr

, 2016
A braid-like isotopy for links in 3–space is an isotopy which uses only those Reidemeister moves which occur in isotopies of braids. We define a refined Jones polynomial and its corresponding Khovanov homology which are, in general, only invariant under ...
Thomas Fiedler, Benjamin Audoux
core  

Polynomials and Homotopy of Virtual Knot Diagrams

, 2017
. If a virtual knot diagram can be transformed to another virtual one by a finite sequence of crossing changes, Reidemeister moves and virtual moves then the two virtual knot diagrams are said to be homotopic . There are infinitely many homotopy classes of
M. Jeong, Chan-Young Park, M. Park
semanticscholar   +1 more source

©Hindawi Publishing Corp. ON THE REIDEMEISTER TORSION OF RATIONAL HOMOLOGY SPHERES

, 2000
. We prove that the modZ reduction of the Reidemeister torsion of a rational homology 3-sphere is naturally a Q/Z-valued quadratic function uniquely determined by a Q/Z-constant and the linking form. 2000 Mathematics Subject Classification. Primary 57M27,
Liviu I. Nicolaescu
core  

Knot Floer homology in cyclic branched covers

, 2006
In this paper, we introduce a sequence of invariants of a knot K in S 3: the knot Floer homology groups 1HFK. † m.K/I eK; i / of the preimage of K in the m–fold cyclic branched cover over K. We exhibit 1HFK.
J Elisenda Grigsby
core  

On knot Floer homology and cabling

, 2005
This paper is devoted to the study of the knot Floer homology groups ĤFK(S3,K2,n), where K2,n denotes the (2, n) cable of an arbitrary knot, K. It is shown that for sufficiently large |n|, the Floer homology of the cabled knot depends only on the ...
Matthew Hedden
core  

Representations of Knot Groups and Twisted Alexander Polynomials

, 2001
Wepresen t a twisted version of the Alexanb polyn7bassociated with a matrix represen tation of thekn1 group. Examples of two kn2 s with the same Alexan7b module utdi#eren t twisted Alexanb polynb-7 are given Keywords TwistedAlexanb1 polynb- Represen ...
X. S. Lin, Xiao Song Lin
core  

Surgery formulae for the Seiberg-Witten invariant of plumbed 3-manifolds. [PDF]

Rev Mat Complut, 2020
László T, Nagy J, Némethi A.
europepmc   +1 more source

HOMOLOGY FOR QUANDLES WITH PARTIAL GROUP OPERATIONS. [PDF]

Pac J Math, 2017
Carter S, Ishii A, Saito M, Tanaka K.
europepmc   +1 more source