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pro vyhledávání: '"Manfredi, Enrico"'
Autor:
Manfredi, Enrico <1986>
The aim of this dissertation is to improve the knowledge of knots and links in lens spaces. If the lens space L(p,q) is defined as a 3-ball with suitable boundary identifications, then a link in L(p,q) can be represented by a disk diagram, i.e. a reg
Externí odkaz:
http://amsdottorato.unibo.it/6265/
Autor:
Cattabriga, Alessia, Manfredi, Enrico
Links in lens spaces may be defined to be equivalent by ambient isotopy or by diffeomorphism of pairs. In the first case, for all the combinatorial representations of links, there is a set of Reidemeister-type moves on diagrams connecting isotopy equ
Externí odkaz:
http://arxiv.org/abs/1701.01838
Autor:
Gabrovšek, Boštjan, Manfredi, Enrico
Publikováno v:
J. Knot Theory Ramifications 27:01 (2018)
In this paper the properties of the Kauffman bracket skein module of $L(p,q)$ are investigated. Links in lens spaces are represented both through band and disk diagrams. The possibility to transform between the diagrams enables us to compute the Kauf
Externí odkaz:
http://arxiv.org/abs/1506.01161
Autor:
Gabrovšek, Boštjan, Manfredi, Enrico
Publikováno v:
Topol. Appl. 206 (2015) 255-275
We introduce generalized arrow diagrams and generalized Reidemeister moves for diagrams of links in Seifert fibered spaces. We give a presentation of the fundamental group of the link complement. As a corollary we are able to compute the first homolo
Externí odkaz:
http://arxiv.org/abs/1503.07223
Autor:
Manfredi, Enrico, Savini, Alessio
We take advantage of the correspondence between fibered links, open book decompositions and contact structures on a closed connected 3-dimensional manifold to determine a mixed link diagram presentation for a particular fibered link $L$ in the lens s
Externí odkaz:
http://arxiv.org/abs/1502.03345
In this paper we study the relation between two diagrammatic representations of links in lens spaces: the disk diagram and the grid diagram and we find how to pass from one to the other. We also investigate whether the HOMFLY-PT invariant and the Lin
Externí odkaz:
http://arxiv.org/abs/1312.2230
Autor:
Manfredi, Enrico
An important geometric invariant of links in lens spaces is the lift in the 3-sphere of a link $L$ in $L(p,q)$, that is the counterimage $\widetilde L$ of $L$ under the universal covering of $L(p,q)$. If lens spaces are defined as a lens with suitabl
Externí odkaz:
http://arxiv.org/abs/1312.1256
In this paper we study some aspects of knots and links in lens spaces. Namely, if we consider lens spaces as quotient of the unit ball $B^{3}$ with suitable identification of boundary points, then we can project the links on the equatorial disk of $B
Externí odkaz:
http://arxiv.org/abs/1209.6532
Autor:
Gabrovšek, Boštjan, Manfredi, Enrico
Publikováno v:
In Topology and its Applications 15 June 2016 206:255-275
Publikováno v:
In Topology and its Applications 1 February 2013 160(2):430-442