Some bounds for the genus of ![M<sup>n</sup> I](http://siba-ese.unile.it/plugins/generic/latexRender/cache/290def7771252b7749e542cbb2508b4f.png)
Abstract
Starting from a
-symmetric crystallization
of a closed n-manifolds
, we give an algorithm to build a crystallization(Error rendering LaTeX formula) OF
. This algorithm allows to give a formula for the calculation of the regular genus of(Error rendering LaTeX formula), in the cases
, and some bounds for the genus of the product-manifolds represented.
![(i,j)](http://siba-ese.unile.it/plugins/generic/latexRender/cache/5270ae675fac24f97e172dcd9b18fa92.png)
![(Γ_{M<sup>n</sup>},γ_{M<sup>n</sup>})](http://siba-ese.unile.it/plugins/generic/latexRender/cache/7ca1ca83709ba54b0d9088e32bc26e82.png)
![M<sup>n</sup>](http://siba-ese.unile.it/plugins/generic/latexRender/cache/56db0922b9c7932b3461de42fc5fac73.png)
![M<sup>n</sup> I](http://siba-ese.unile.it/plugins/generic/latexRender/cache/470e6211f5ad590a665d397826b2d0f5.png)
![n=2,3](http://siba-ese.unile.it/plugins/generic/latexRender/cache/f247362bd1f18946982a400e6f43fb5b.png)
DOI Code:
10.1285/i15900932v18n2p175
Keywords:
Product of manifolds for I; Crystallizations; Regular genus
Classification:
57N12; 57N13; 57Q15; 57M40
Full Text: PDF