Please use this identifier to cite or link to this item: http://hdl.handle.net/10077/30760
Title: Crystallizations of compact 4-manifolds minimizing combinatorially de ned PL-invariants
Authors: Casali, Maria Rita
Cristofori, Paola
Gagliardi, Carlo
Keywords: compact 4-manifoldcolored triangulationcrystallizationregular genusGurau degreegem-complexitytrisection
Issue Date: 2020
Publisher: EUT Edizioni Università di Trieste
Source: Maria Rita Casali, Paola Cristofori, Carlo Gagliardi, "Crystallizations of compact 4-manifolds minimizing combinatorially de ned PL-invariants" in: "Rendiconti dell’Istituto di matematica dell’Università di Trieste: an International Journal of Mathematics vol. 52 (2020)", EUT Edizioni Università di Trieste, Trieste, 2020
Journal: Rendiconti dell’Istituto di matematica dell’Università di Trieste: an International Journal of Mathematics 
Abstract: 
The present paper is devoted to present a unifying survey about some special classes of crystallizations of compact PL 4-manifolds with empty or connected boundary, called semi-simple and weak semi-
simple crystallizations, with a particular attention to their properties of minimizing combinatorially defined PL-invariants, such as the regular genus, the Gurau degree, the gem-complexity and the (gem-induced)
trisection genus. The main theorem, yielding a summarizing result on the topic, is an original contribution. Moreover, in the present paper the additivity of regular genus with respect to connected sum is proved to hold for all compact 4-manifolds with empty or connected boundary which admit weak semi-simple crystallizations.
Type: Article
URI: http://hdl.handle.net/10077/30760
ISSN: 0049-4704
eISSN: 2464-8728
DOI: 10.13137/2464-8728/30760
Rights: Attribution-NonCommercial-NoDerivatives 4.0 Internazionale
Appears in Collections:Rendiconti dell’Istituto di Matematica dell’Università di Trieste: an International Journal of Mathematics vol.52 (2020), 1st and 2nd Issue

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