Some bounds for the genus of $Mn ? I$

Paola Bandieri, Marzia Rivi · IRIS UNIMORE (University of Modena and Reggio Emilia) · 2009

Starting from a $(i,j)$-symmetric crystallization $(Γ_{Mn},γ_{Mn})$ of a closed n-manifolds $Mn$, we give an algorithm to build a crystallization $(ΓA_{Mn},γA_{Mn})$ OF $Mn? I$. This algorithm allows to give a formula for the calculation of the regular genus of $(ΓA_{Mn}, γA_{Mn})$, in the cases $n=2,3$, and some bounds for the genus of the product-manifolds represented.

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