Using the theory of hyperbolic manifolds with totally geodesic boundary, we provide for every n > 2 a class Mn of such manifolds all having Matveev complexity equal to n and Heegaard genus equal to n + 1. All the elements of Mn have a single boundary component of genus n, and #Mn grows at least exponentially with n.
Complexity and heegaard genus of an infinite class of compact 3-manifolds / Frigerio, R.; Martelli, B.; Petronio, C.. - In: PACIFIC JOURNAL OF MATHEMATICS. - ISSN 0030-8730. - 210:2(2003), pp. 283-297. [10.2140/pjm.2003.210.283]
Complexity and heegaard genus of an infinite class of compact 3-manifolds
Petronio C.
2003-01-01
Abstract
Using the theory of hyperbolic manifolds with totally geodesic boundary, we provide for every n > 2 a class Mn of such manifolds all having Matveev complexity equal to n and Heegaard genus equal to n + 1. All the elements of Mn have a single boundary component of genus n, and #Mn grows at least exponentially with n.File in questo prodotto:
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