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• W3162144118 abstract "In this paper we study colored triangulations of compact PL 4-manifolds with empty or connected boundary which induce handle decompositions lacking in 1-handles or in 1- and 3-handles, thus facing also the problem, posed by Kirby, of the existence of special handle decompositions for any simply-connected closed PL 4-manifold. In particular, we detect a class of compact simply-connected PL 4-manifolds with empty or connected boundary, which admit such decompositions and, therefore, can be represented by (undotted) framed links. Moreover, this class includes any compact simply-connected PL 4-manifold with empty or connected boundary having colored triangulations that minimize the combinatorially defined PL invariants regular genus, gem-complexity or G-degree among all such manifolds with the same second Betti number." @default.
• W3162144118 created "2021-05-24" @default.
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• W3162144118 date "2021-05-15" @default.
• W3162144118 modified "2023-10-16" @default.
• W3162144118 title "Compact 4-manifolds admitting special handle decompositions" @default.
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• W3162144118 doi "https://doi.org/10.1007/s13398-021-01001-x" @default.
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