The objective of this study was to analyze the features of FtsZ proteins in the Bacillus and Lactococcus genus groups. By exploring the available genomes, we identified and characterized FtsZ proteins in 19 Bacillus and 22 Lactococcus species.

We establish a correspondence between orbifold and singular elliptic genera of a global quotient. While the former is defined in terms of the fixed point set of the action, the latter is defined in terms of the resolution of singularities. As a byproduct, the second quantization formula of Dijkgraaf, Moore, Verlinde and Verlinde is extended to arbitrary Kawamata log-terminal pairs. 1. Introduction One of the fundamental problems suggested by the intersection homology theory is to determine which characteristic numbers can be defined for singular varieties. ...