Within geometric (or PL) topology, a representation theory exists, which makes use of a particular class of edge-coloured graphs - called crystallizations - to deal with PL-manifolds of arbitrary dimension, with or without boundary. The present paper is mainly devoted to review some recent developments of crystallization theory, and to show the existingrelationships with other "classical" representation methods for PL-manifolds, such as Heegaard splittings, branched coverings and surgery on framed links.

Geometric topology by crystallization theory: results and problems / Casali, M.R.. - In: RENDICONTI DEL CIRCOLO MATEMATICO DI PALERMO. - ISSN 0009-725X. - STAMPA. - 49:Supplemento(1997), pp. 61-82.

Geometric topology by crystallization theory: results and problems

CASALI, Maria Rita
1997

Abstract

Within geometric (or PL) topology, a representation theory exists, which makes use of a particular class of edge-coloured graphs - called crystallizations - to deal with PL-manifolds of arbitrary dimension, with or without boundary. The present paper is mainly devoted to review some recent developments of crystallization theory, and to show the existingrelationships with other "classical" representation methods for PL-manifolds, such as Heegaard splittings, branched coverings and surgery on framed links.
1997
no
Inglese
49
Supplemento
61
82
22
PL-manifold; triangulation; edge-coloured graph; crystallization; regular genus; Heegaard splitting; branched covering; surgery; framed link.
The Rendiconti del Circolo Matematico di Palermo is an international journal publishing original research papers on any subject of pure and applied mathematics. Submissions, since foundation of the journal, are refereed by an international editorial board of Mathematicians.The publication of this journal is in two series: The first series, published between 1885 and 1941, consists of 63 volumes, and almost all of them are still available. The second series began in 1952 and, starting with volume 57 (2008), will be published in cooperation with Springer-Verlag.Abstracted/Indexed in:Current Contents, Mathematical Reviews, MathSciNet, Zentralblatt Math
none
info:eu-repo/semantics/article
Contributo su RIVISTA::Articolo su rivista
262
Geometric topology by crystallization theory: results and problems / Casali, M.R.. - In: RENDICONTI DEL CIRCOLO MATEMATICO DI PALERMO. - ISSN 0009-725X. - STAMPA. - 49:Supplemento(1997), pp. 61-82.
Casali, Maria Rita
1
File in questo prodotto:
Non ci sono file associati a questo prodotto.
Pubblicazioni consigliate

Licenza Creative Commons
I metadati presenti in IRIS UNIMORE sono rilasciati con licenza Creative Commons CC0 1.0 Universal, mentre i file delle pubblicazioni sono rilasciati con licenza Attribuzione 4.0 Internazionale (CC BY 4.0), salvo diversa indicazione.
In caso di violazione di copyright, contattare Supporto Iris

Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11380/450753
Citazioni
  • ???jsp.display-item.citation.pmc??? ND
  • Scopus ND
  • ???jsp.display-item.citation.isi??? ND
social impact