Title of article :
The Gromov norm of the product of two surfaces
Author/Authors :
Bowen، نويسنده , , Lewis and De Loera، نويسنده , , Jesْs A. and Develin، نويسنده , , Mike and Santos، نويسنده , , Francisco، نويسنده ,
Issue Information :
روزنامه با شماره پیاپی سال 2005
Abstract :
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 from this one.
Keywords :
Gromov norm , Simplicial volume , Simplicial complexes , Minimal triangulations , Convex polytopes
