Abstract The theory of topological modular forms (TMF) predicts that elliptic genera physical theories satisfy a certain divisibility property, determined by the theory’s gravitational anomaly. In this note we verify prediction in Duncan’s supermoonshine module, as well tensor products and orbifolds thereof. Along way develop machinery for computing general alternating discuss relation construc...

Open Source Software (OSS) Projects are gaining popularity worldwide. Studies by many researchers show that the important key success factor is modularity of the source code. This paper presents the revised Modularity Index which is a software metrics to measure the modularity level of a javabased OSS Projects. To show its effectiveness in analyzing OSS Project, the Modularity Index and its sup...

In a recent preprint of F. Gouvea and N. Yui (see arxiv.org/abs/0902.1466) a detailed account is given of a patching argument due to Serre that proves that the modularity of all rigid Calabi-Yau threefolds defined over Q follows from Serre’s modularity conjecture. In this note (a letter to N. Yui) we give an alternative proof of this implication. The main difference with Serre’s argument is tha...

We call a lattice L isoform, if for any congruence relation Θ of L, all congruence classes of Θ are isomorphic sublattices. In an earlier paper, we proved that for every finite distributive lattice D, there exists a finite isoform lattice L such that the congruence lattice of L is isomorphic to D. In this paper, we prove a much stronger result: Every finite lattice has a congruence-preserving e...

Extant literature on value congruence is fragmented due to different methodological treatments and theoretical perspectives. Proposing a typology of the value congruence concept, this paper reviews several key themes in value congruence research including staffing, socialization, leadership, job attitudes, performance, among others. By reviewing related antecedents and outcomes, discussing unde...