The Gysin sequence for S3{\mathbb S}^3-actions on manifolds

We construct a Gysin sequence associated to any smooth ${\mathbb S}^3$-action on a smooth manifold.Comment: Accepted for publication in Publicationes Mathematicae Debrecen, scheduled for 2014 Publicationes Mathematicae Debrecen (2014

Dielectric confinement of excitons in type-I and type-II semiconductor nanorods

We theoretically study the effect of the dielectric environment on the exciton ground state of CdSe and CdTe/CdSe/CdTe nanorods. We show that insulating environments enhance the exciton recombination rate and blueshift the emission peak by tens of meV. These effects are particularly pronounced for type-II nanorods. In these structures, the dielectric confinement may even modify the spatial distribution of electron and hole charges. A critical electric field is required to separate electrons from holes, whose value increases with the insulating strength of the surroundings.Comment: Journal of Physics: Condensed Matter (in press

Top dimensional group of the basic intersection cohomology for singular riemannian foliations

It is known that, for a regular riemannian foliation on a compact manifold, the properties of its basic cohomology (non-vanishing of the top-dimensional group and Poincar\'e Duality) and the tautness of the foliation are closely related. If we consider singular riemannian foliations, there is little or no relation between these properties. We present an example of a singular isometric flow for which the top dimensional basic cohomology group is non-trivial, but its basic cohomology does not satisfy the Poincar\'e Duality property. We recover this property in the basic intersection cohomology. It is not by chance that the top dimensional basic intersection cohomology groups of the example are isomorphic to either 0 or $\mathbb{R}$. We prove in this Note that this holds for any singular riemannian foliation of a compact connected manifold. As a Corollary, we get that the tautness of the regular stratum of the singular riemannian foliation can be detected by the basic intersection cohomology.Comment: 11 pages. Accepted for publication in the Bulletin of the Polish Academy of Science

Soft Skills that Employers are Seeking

As a university professor who wishes to discover ways in which I can enhance my students/advisees knowledge on how to prepare and plan for their future, I have executed a literature search relevant to the soft skills that employers are seeking in the graduates of the 21st Century. The following article summaries purposely seek to elucidate this question for today’s graduates. A summary is provided at the end

A House for Sale

This presentation is intended to elucidate the fact that Christ is in heaven preparing a home for us, which is free of charge. However, there is an obligation on the part of each human being of choosing to accept this free gift. This PowerPoint outlines what the prerequisites and guidelines are to be able to receive a home in heaven, and eternal life

A Culture, a People, a Nation - Understanding of a Culture through Icons and Symbols.

Addresses the global issues of icons and symbols as a tool for the definition that society ascribes to a particular culture, people, or nation, followed by a specific focus on Spain and Spanish culture. The icons and symbols include such figures as Don Quijote, Reina Sofía, and Andrés Segovia, as well as, the Roman Acqueduct of Segovia, the Moorish fortress of Granada. The heritage of Toledo

Charge/Recharge: The Educator\u27s PowerPack Installation

Have you been behind the desk, as an educator, for such an extended period of time that you need to re-charge your learning experience batteries ? Do you need some out-of-the-box ideas to bring some new teaching strategies to the classroom

Scripture and Prayer in Christian Education -- Nurturing, Discipleschip, and Retention

PowerPoint presentation Can Scripture and Prayer be anchors for success in academia, as well as a forum for nurturing, discipleship, and retention? Christian education bears the objective of spiritual growth and academic achievement. To attain this goal in my classes, each student selects, provides, and models, linguistically-speaking, a chosen Scripture reading, with a life application. Prayer is offered, providing a framework for the formulation of a prayer in the target language, facilitating competence to communicate with God through a newly acquired means. Studies have shown that the ability to express one\u27s inner thoughts in another language increases one\u27s aptitude and skill-level of communication in that language. These two undertaking provide a medium through which a student gains confidence in his/her ability to complete the class and academic pursuits. Higher education is pivotal to youth and young adults who are making life decisions concerning their relationship with God, a career, and their future

Languages - A Means of Sharing the Gospel

A class devotional is a resource for language learning, as well as, facilitating the means by which students may gain life coping skills. Spanish language literature offers a rich resource for sharing the gospel, available in all academic settings. Students learn that the Scriptures are a life strategy