The Gromov Norm of the Product of Two Surfaces

Details The Gromov Norm of the Product of Two Surfaces The Gromov Norm of the Product of Two Surfaces

2004-07-12

arxiv.org/abs/math/0407176v2

Topology 44:2 (March 2005), 321-339

Mathematics

Geometric Topology

The journal version contains an error that invalidates one direction of the main theorem. The present version contains an erra

Scientific paper

10.1016/j.top.2004.10.007

We 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.

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