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...

We describe an algorithm for determining whether a finite quandle is isomorphic to an Alexander quandle by finding all possible Alexander presentations of the quandle. We give an implementation of this algorithm in Maple.

nihāyatu’l- irab fi akhbare’l -fors va’l- arab is the name of a book whose author(s) and the authoring time are uncertain. in compiling this book, authors such as ’amer sha’bi , ayyoub ibn-i gherriyah, abdullah ibn-i moghafa’, asma’i and ab ol-bakhtary have contributed. there are three different speculations concerning the time of authorship: 1) 75 a.h. 2) before the year 142 a.h. 3) around 170...

1 Department of Pediatrics and Adolescent Medicine, University Hospital Erlangen, Friedrich Alexander University ErlangenNuremberg, Erlangen, Germany, 2 Medical Clinic II, Waldkrankenhaus, Erlangen, Germany, 3 Medical Clinic III for Rheumatology and Immunology, University Hospital Erlangen, Friedrich Alexander University Erlangen-Nuremberg, Erlangen, Germany, 4 Institute of Pathology, Friedrich...

We introduce a notion of tangential Alexander polynomials for plane curves and study the relation with θ-Alexander polynomial. As an application, we use these polynomials to study a non-reduced degeneration Ct, → D0 + jL. We show that there exists a certain surjectivity of the fundamental groups and divisibility among their Alexander polynomials.

We study the structure of the Kauffman algebra of a surface with parameter equal to √ −1. We obtain an interpretation of this algebra as an algebra of parallel transport operators acting on sections of a line bundle over the moduli space of flat SU(2)-connections over the surface. We analyse the asymptotics of traces of curve-operators in TQFT in non standard regimes where the root of unity par...

We develop a dimer model for the Alexander polynomial of a knot. This recovers Kauffman's state sum model for the Alexander polynomial using the language of dimers. By providing some additional structure we are able to extend this model to give a state sum formula for the twisted Alexander polynomial of a knot depending on a representation of the knot group.

Michael Balynsky, Alexander Kozhevnikov, Yuri Khivintsev, Tonmoy Bhowmick, David Gutierrez, Howard Chiang, Galina Dudko, Yuri Filimonov, Guanxiong Liu, Chenglong Jiang, Alexander A. Balandin, Roger Lake, and Alexander Khitun Department of Electrical and Computer Engineering, University of California-Riverside, Riverside, California 92521, USA Kotelnikov Institute of Radioengineering and Electro...