We show that some of the main results in Laurentiu Maxim’s paper [10] can be obtained (even in a slightly more general setting) using the theory of perverse sheaves of finite rank over Q as described for instance in author’s recent book [3].

Alexander Fleming (18811955) After Louis Pasteur's and Robert Koch's publications on the germ theory of disease, doctors developed a better understanding of the cause of infection. However, methods of treatment were still limited to vaccinations and anti-toxins. Joseph Lister's carbolic spray worked with some success during operations, but was not suitable for everyday use. The question was, ho...

What follows is a summary of a recent paper by Berchtold and Hausen [BH03] in which the language of bunches applied to toric varieties is presented and investigated. I would like to thank Jaros law Wísniewski for drawing this paper to my attention and helping me appreciate the methods described. In order to motivate the definitions, we first present an example in which the weighted projected sp...

Using recent results of the second author which explicitly identify the “(1, 2, 1, 2)avoiding” GL(p,C)×GL(q,C)-orbit closures on the flag manifold GL(p+q,C)/B as certain Richardson varieties, we give combinatorial criteria for determining smoothness, lci-ness, and Gorensteinness of such orbit closures. (In the case of smoothness, this gives a new proof of a theorem of W.M. McGovern.) Going a st...

James Alexander Thomson [4], affectionately known as Jamie Thomson [4], is an American developmental biologist whose pioneering work in isolating and culturing non-human primate [5] and human embryonic stem cells [6] has made him one of the most prominent scientists in stem cell research. While growing up in Oak Park, Illinois, Thomson?s rocket-scientist uncle inspired him to pursue science as ...

BACKGROUND Individuals suffering from chronic low back pain (CLBP) experience major physical, social, and occupational disruptions. Strong evidence confirms the effectiveness of Alexander technique (AT) training for CLBP. OBJECTIVES The present study applied an integrative model (IM) of behavioral prediction for improvement of AT training. METHODS This was a quasi-experimental study of fema...

Metal-Organic Framework Materials Omar K. Farha,† Alexander M. Spokoyny,† Karen L. Mulfort,†,‡ M. Frederick Hawthorne,§ Chad A. Mirkin,*,† and Joseph T. Hupp*,† Department of Chemistry and International Institute for Nanotechnology, Northwestern UniVersity, 2145 Sheridan Road, EVanston, Illinois 60208, Chemistry DiVision, Argonne National Laboratory, Argonne, Illinois 60439, and International I...

Following the recent work by Chan [4] and Morton and Hadji [7] on the Homflypt polynomials of some generalized Hopf links, we investigate the Kauffman polynomials of generalized Hopf links. By studying the Kauffman skein module of the solid torus S × D, we establish a similar skein map on the Kauffman skein module of S × D which has distinct eigenvalues. Furthermore we are able to calculate the...

More than 2000 years ago, Alexander the Third of Macedonia conquered the then known world and ruled an empire that extended from the Balkan Peninsula to the Indus River. Alexander changed the course of human history when he sparked the spread of Greek culture throughout the ancient world. Also as the world’s first statesman, he forsaw the advantages of multicultural societies and was clever eno...