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- W1990622099 abstract "Abstract In the present paper, we face the problem of classifying classes of orientable PL 5-manifolds M 5 with h ≥ 1 boundary components, by making use of a combinatorial invariant called regular genus G ( M 5 ). In particular, a complete classification up to regular genus five is obtained: where denotes the regular genus of the boundary ∂ M 5 and denotes the connected sumof h ≥ 1 orientable 5-dimensional handlebodies 𝕐 α i of genus α i ≥ 0 ( i = 1, . . . , h ), so that . Moreover, we give the following characterizations of orientable PL 5-manifolds M 5 with boundary satisfying particular conditions related to the “gap” between G ( M 5 ) and either G (∂ M 5 ) or the rank of their fundamental group rk(π 1 ( M 5 )): Further, the paper explains how the above results (together with other known properties of regular genus of PL manifolds) may lead to a combinatorial approach to 3-dimensional Poincaré Conjecture." @default.
- W1990622099 created "2016-06-24" @default.
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- W1990622099 date "1997-04-01" @default.
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- W1990622099 title "Classifying Pl 5-Manifolds by Regular Genus: The Boundary Case" @default.
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- W1990622099 doi "https://doi.org/10.4153/cjm-1997-010-3" @default.
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