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- W3103248778 abstract "The notion of Gem–Matveev complexity (GM-complexity) has been introduced within crystallization theory, as a combinatorial method to estimate Matveev's complexity of closed 3-manifolds; it yielded upper bounds for interesting classes of such manifolds. In this paper, we extend the definition to the case of non-empty boundary and prove that for each compact irreducible and boundary-irreducible 3-manifold it coincides with the modified Heegaard complexity introduced by Cattabriga, Mulazzani and Vesnin. Moreover, via GM-complexity, we obtain an estimation of Matveev's complexity for all Seifert 3-manifolds with base 𝔻 2 and two exceptional fibers and, therefore, for all torus knot complements." @default.
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- W3103248778 date "2013-07-01" @default.
- W3103248778 modified "2023-10-17" @default.
- W3103248778 title "COMPUTING MATVEEV'S COMPLEXITY VIA CRYSTALLIZATION THEORY: THE BOUNDARY CASE" @default.
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- W3103248778 doi "https://doi.org/10.1142/s0218216513500387" @default.
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