Compact n-Manifolds via(n+l)-Colored Graphs:a New Approach

作     者：Luigi Grasselli Michele Mulazzani Luigi Grasselli;Michele Mulazzani

作者机构：Dipartimcnto di Scicnze e Metodi dell'Ingegneria Universita di Modena e Reggio EmiliaVia Giovanni Amendola2-Pad.Morselli 42122 Reggio EmiliaItaly Dipartimento di Matematica and ARCESUniversita di Bologna Piazza di Porta San Donato 540126 BolognaItaly 

出 版 物：《Algebra Colloquium》 (代数集刊（英文版）)

年 卷 期：2020年第27卷第1期

页      面：95-120页

核心收录：

学科分类：07[理学] 0701[理学-数学] 070101[理学-基础数学] 

基　　金：supported by the “National Group for Algebraic and Geometric Structures, and their Applications”(GNSAGA-INdAM) by University of Modena and Reggio Emilia and University of Bologna, funds for selected research topics 

主　　题：compact manifolds colored graphs fundamental groups dipole moves 

摘      要：We introduce a representation via(n+l)-colored graphs of compact n-manifolds with(possibly empty)boundary,which appears to be very convenient for computer aided study and *** construction is a generalization to arbitrary dimension of the one recently given by Cristofori and Mulazzani in dimension three,and it is dual to the one given by Pezzana in the *** this context we establish some results concerning the topology of the represented manifolds:suspensions,fundamental groups,connected sums and moves between graphs representing the same *** results of compact orientable 4-manifolds representable by graphs up to six vertices are obtained,together with some properties of the G-degree of 5-colored graphs relating this approach to tensor models theory.