The Gromov Norm of the Product of Two Surfaces

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dc.creatorBowen, Lewis
dc.creatorde Loera, Jesus A.
dc.creatorDevelin, Mike
dc.creatorSantos, Francisco
dc.date2004-07-12
dc.date2008-05-09
dc.date.accessioned2026-07-07T09:37:47Z
dc.date.available2026-07-07T09:37:47Z
dc.descriptionWe make an estimation of the value of the Gromov norm of the Cartesian product of two surfaces. Our method uses a connection between these norms and the minimal size of triangulations of the products of two polygons. This allows us to prove that the Gromov norm of this product is between 32 and 52 when both factors have genus 2. The case of arbitrary genera is easy to deduce form this one.
dc.descriptionThe journal version contains an error that invalidates one direction of the main theorem. The present version contains an erratum, at the end, explaining this
dc.identifierhttps://arxiv.org/abs/math/0407176
dc.identifierhttp://arxiv.org/abs/math/0407176
dc.identifierTopology 44:2 (March 2005), 321-339
dc.identifierdoi:10.1016/j.top.2004.10.007
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/160581
dc.subjectGeometric Topology
dc.subjectCombinatorics
dc.subject57B45; 52B12, 57N65, 57N13
dc.titleThe Gromov Norm of the Product of Two Surfaces
dc.typetext

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