Based on a large number of smearing steps, we classify SU(3) gauge field configurations in different topological sectors. For each sector we compare the exact analytical predictions for the microscopic Dirac operator spectrum of quenched staggered fermions. In all sectors we find perfect agreement with the predictions for the sector of topological charge zero, showing explicitly that the smalle...

We propose a topological theory of the Maslov index for lagrangian and symplectic paths based on a minimal system of axioms. We recover , as particular cases, the Hörmander and the Robbin–Salomon indices.

Publisher: School of Statistics, Renmin University China, Journal: Journal Data Science, Title: The Matrix Expression, Topological Index and Atomic Attribute Molecular Structure, Authors: Qian-Nan Hu, Yi-Zeng Liang, Kai-Tai

topological distance and Li = L0,i −NH,i + qi is a local atom index (a characteristics of atom i) calculated from the atom valence, L0,i, the number of hydrogen atoms attached to atom, NH,i, and qi which is the corresponding charge density. The partial charges are computed by the topological empirical method of Gasteiger-Marsili [2] calculated with a fixed number of iterations. The CTI index co...

Among topological descriptors connectivity topological indices are very important and they have a prominent role in chemistry. One of them is atom-bond connectivity (ABC) index defined as ABC(G)= [formula:see text], in which degree of vertex v denoted by dv . Recently, a new version of atom-bond connectivity (ABC4) index was introduced by M. Ghorbani et.al in 2010 and is defined as ABC4(G)= [fo...