On localization in holomorphic equivariant cohomology

We prove a localization formula for a "holomorphic equivariant cohomology" attached to the Atiyah algebroid of an equivariant holomorphic vector bundle. This generalizes Feng-Ma, Carrell-Liebermann, Baum-Bott and K. Liu's localization formulas.Comment: 16 pages. Completely rewritten, new title. v3: Minor changes in the exposition. v4: final version to appear in Centr. Eur. J. Mat

Residues and World-Sheet Instantons

We reconsider the question of which Calabi-Yau compactifications of the heterotic string are stable under world-sheet instanton corrections to the effective space-time superpotential. For instance, compactifications described by (0,2) linear sigma models are believed to be stable, suggesting a remarkable cancellation among the instanton effects in these theories. Here, we show that this cancellation follows directly from a residue theorem, whose proof relies only upon the right-moving world-sheet supersymmetries and suitable compactness properties of the (0,2) linear sigma model. Our residue theorem also extends to a new class of "half-linear" sigma models. Using these half-linear models, we show that heterotic compactifications on the quintic hypersurface in CP^4 for which the gauge bundle pulls back from a bundle on CP^4 are stable. Finally, we apply similar ideas to compute the superpotential contributions from families of membrane instantons in M-theory compactifications on manifolds of G_2 holonomy.Comment: 47 page

The nil Hecke ring and singularity of Schubert varieties

We give a criterion for smoothness of a point in any Schubert variety in any G/B in terms of the nil Hecke ring.Comment: AMSTE

Genetic variation in the HLA region is associated with susceptibility to herpes zoster.

Herpes zoster, commonly referred to as shingles, is caused by the varicella zoster virus (VZV). VZV initially manifests as chicken pox, most commonly in childhood, can remain asymptomatically latent in nerve tissues for many years and often re-emerges as shingles. Although reactivation may be related to immune suppression, aging and female sex, most inter-individual variability in re-emergence risk has not been explained to date. We performed a genome-wide association analyses in 22,981 participants (2280 shingles cases) from the electronic Medical Records and Genomics Network. Using Cox survival and logistic regression, we identified a genomic region in the combined and European ancestry groups that has an age of onset effect reaching genome-wide significance (P>1.0 × 10(-8)). This region tags the non-coding gene HCP5 (HLA Complex P5) in the major histocompatibility complex. This gene is an endogenous retrovirus and likely influences viral activity through regulatory functions. Variants in this genetic region are known to be associated with delay in development of AIDS in people infected by HIV. Our study provides further suggestion that this region may have a critical role in viral suppression and could potentially harbor a clinically actionable variant for the shingles vaccine

EXAMINING THE MEDIATING INFLUENCE OF OCCUPATIONAL SELF-EFFICACY AND PERCEIVED ORGANIZATIONAL SUPPORT ON THE RELATIONSHIP BETWEEN PERCEIVED MANAGERIAL COACHING BEHAVIORS AND EMPLOYEE ENGAGEMENT AMONG HIGHER EDUCATION ENROLLMENT MANAGEMENT PROFESSIONALS

The U.S. higher education environment is characterized by significant governmental/regulatory scrutiny, increasing competition, decreasing State funding, and demands for professionals to do more with less. In this environment, managers are increasingly expected to take on functions typically associated with traditional human resource roles, in particular the training, development, and retention of employees, often with limited or no access to formalized training resources. This study predicted that a relationship exists between the perceived managerial coaching behaviors enacted by a direct supervisor and employee engagement among manager-level employees in strategic enrollment management divisions within higher education institutions. The hypotheses predicted this relationship would be positive, and partially mediated by both perceived organizational support (POS) and occupational self-efficacy (OSE). A quantitative half-longitudinal survey design was employed for data collection. Two pilot studies were conducted prior to the main study, which was executed in coordination with the American Association of Collegiate Registrars and Admissions Officers (AACRAO). The first phase of data collection completed via an AACRAO 60-Second Survey, and the second was completed by the primary researcher. Structural equation modeling was utilized to analyze the collected data and test the hypotheses. Results indicated managerial coaching and employee engagement were positively correlated, and that managerial coaching influences engagement largely through its positive relationship with POS; OSE was dropped from the final analysis due to ceiling effect issues. Findings from the study support the efficacy of managerial coaching as a leadership approach in enrollment management, and the importance of its relationship to POS. Implications for theory and future research are discussed