Zobrazeno 1 - 10
of 34
pro vyhledávání: '"Michele Mulazzani"'
Publikováno v:
Indiana University Mathematics Journal. 69:421-451
In this paper we deal with Seifert fibre spaces, which are compact 3-manifolds admitting a foliation by circles. We give a combinatorial description for these manifolds in all the possible cases: orientable, non-orientable, closed, with boundary. Mor
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::d4dc3bb5f1b372ffc0c3e84a0045d94a
https://doi.org/10.1512/iumj.2020.69.7848
https://doi.org/10.1512/iumj.2020.69.7848
Autor:
Michele Mulazzani, Luigi Grasselli
We introduce a representation via (n+1)-colored graphs of compact n-manifolds with (possibly empty) boundary, which appears to be very convenient for computer aided study and tabulation. Our construction is a generalization to arbitrary dimension of
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::f385f3a7764edd74b2f0aeb089aa4ea6
https://hdl.handle.net/11380/1187512
https://hdl.handle.net/11380/1187512
The graph complexity of a compact 3-manifold is defined as the minimum order among all 4-colored graphs representing it. Exact calculations of graph complexity have been already performed, through tabulations, for closed orientable manifolds (up to g
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::eb00c405a34b6f3b9453f615d61e530c
http://hdl.handle.net/11585/624480
http://hdl.handle.net/11585/624480
We analyze different representations of knots and links in lens spaces, as disk diagrams, grid diagrams, mixed diagrams; together with the associated moves describing the knot/link equivalence. Using such representations we study some invariants of t
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=od______4094::dea238b3786e71886450c9c3785eb4c9
http://hdl.handle.net/11585/624030
http://hdl.handle.net/11585/624030
A representation for compact 3-manifolds with non-empty non-spherical boundary via 4-colored graphs (i.e., 4-regular graphs endowed with a proper edge-coloration with four colors) has been recently introduced by two of the authors, and an initial cla
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::6fdc1b9fe8ca1e1f4d0584cc36296951
http://hdl.handle.net/11585/610954
http://hdl.handle.net/11585/610954
Autor:
Michele Mulazzani, Enrico Manfredi
Publikováno v:
Analele Universitatii "Ovidius" Constanta - Seria Matematica. 20:115-130
We introduce the concept of regular diagrams for knots and links in lens spaces, proving that two diagrams represent equivalent links if and only if they are related by a finite sequence of seven Reidemester type moves. As a particular case, we obtai
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::9d8e086ab39f79bd4b89ad993a70d2aa
https://doi.org/10.2478/v10309-012-0044-1
https://doi.org/10.2478/v10309-012-0044-1
Autor:
Michele Mulazzani, Sóstenes Lins
Publikováno v:
Journal of Knot Theory and Its Ramifications. 15:1001-1035
In this paper we prove that two n-gems induce the same manifold if and only if they are linked by a finite sequence of gem moves. A gem move is either a blob move, consisting in the creation or cancellation of an n-dipole, or a clean flip, which is a
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::76889200e6c189c031827f2ba0a8e67d
https://doi.org/10.1142/s0218216506004907
https://doi.org/10.1142/s0218216506004907
The idea of computing Matveev complexity by using Heegaard decompositions has been recently developed by two different approaches: the first one for closed 3-manifolds via crystallization theory, yielding the notion of Gem-Matveev complexity; the oth
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::14648dc4173caa0b7bd71ddc0a75b2d9
Autor:
Michele Mulazzani
Publikováno v:
Bulletin of the Korean Mathematical Society. 40:101-108
In this paper we study the connections between cyclic presentations of groups and branched cyclic coverings of (1,1)-knots. In particular, we prove that every n-fold strongly-cyclic branched covering of a (1,1)-knot admits a cyclic presentation for t
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::c48169e40c17e8cc100310a975cbdff5
https://doi.org/10.4134/bkms.2003.40.1.101
https://doi.org/10.4134/bkms.2003.40.1.101
Autor:
Michele Mulazzani
Publikováno v:
Tsukuba J. Math. 25, no. 2 (2001), 229-237
In this paper we show that periodic Takahashi 3-manifolds are cyclic coverings of the connected sum of two lens spaces (possibly cyclic coverings of the 3-sphere), branched over knots. When the base space is a 3-sphere, we prove that the associated b
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::722a4bb036401cb1156aef218d56d59e
https://tsukuba.repo.nii.ac.jp/records/17274
https://tsukuba.repo.nii.ac.jp/records/17274