We study how the cohomology of a type $F_\infty$ relatively hyperbolic group pair $(G,\mathcal{P})$ changes under Dehn fillings (i.e. quotients pairs). For sufficiently long where quotient $(\bar{G},\bar{\mathcal{P}})$ is $F_\infty$, we show that there spectral sequence relating groups $H^i(G,\mathcal{P};\mathbb{Z} G)$ and $H^i\left(\bar{G},\bar{\mathcal{P}};\mathbb{Z}\bar{G}\right)$. As conseq...

According to the World Health Organization (WHO), factors such as growing electricity demand, ever-advancing technologies and changes in social behaviour have led to steadily increasing exposure to man-made electromagnetic fields.  Dental amalgam fillings are among the major sources of exposure to elemental mercury vapour in the general population. Although it was previously believed that low ...

A grid shape is a set of boxes chosen from a square grid; any Young diagram is an example. This paper considers a notion of pattern-avoidance for 0-1 fillings of grid shapes, which generalizes permutation pattern-avoidance. A filling avoids some patterns if none of its sub-shapes equal any of the patterns. We focus on patterns that are pairs of 2 × 2 fillings. For some shapes, fillings that avo...

We consider conditions on relatively hyperbolic groups about the non-existence of certain kinds of splittings, and show these properties persist in long Dehn fillings. We deduce that certain connectivity properties of the Bowditch boundary persist un-

Dentists all over the world remove millions of amalgam fillings every day, with no regard for the possible mercury exposure that can result from grinding them out. Much of the time, a new amalgam filling goes back in place of the old one. The dental establishment claims that amalgam is a stable material, that emits little or no mercury, but then turns around and blames the mercury–free dentists...

Abstract We classify $SU(2)$-cyclic and $SU(2)$-abelian 3-manifolds, for which every representation of the fundamental group into $SU(2)$ has cyclic or abelian image, respectively, among geometric 3-manifolds that are not hyperbolic. As an application, we give examples hyperbolic do admit degree-1 maps to any Seifert Fibered manifold other than $S^3$ a lens space. also produce infinitely many o...

Dentists all over the world remove millions of amalgam fillings every day, with no regard for the possible mercury exposure that can result from grinding them out. Much of the time, a new amalgam filling goes back in place of the old one. The dental establishment claims that amalgam is a stable material, that emits little or no mercury, but then turns around and blames the mercury–free dentists...

Dentists all over the world remove millions of amalgam fillings every day, with no regard for the possible mercury exposure that can result from grinding them out. Much of the time, a new amalgam filling goes back in place of the old one. The dental establishment claims that amalgam is a stable material, that emits little or no mercury, but then turns around and blames the mercury–free dentists...

introduction: the provision of an effective apical seal is an essential factor when choosing an appropriate material for success of root-end surgeries. root-end resection, preparation and obturation should provide an adequate apical seal. the aim of this in vitro study was to investigate bacterial and dye microleakage of four different root-end filling materials and compare the efficacy of thes...

The purpose of the present study was to clinically and radiographically evaluate the periapical healing responses of patients with persistent apical periodontitis who were treated with microsurgical techniques and root-end fillings with mineral trioxide aggregate (MTA). Ninety-seven consecutive patients with 128 teeth demonstrating persistent periapical lesions were included in the study. A mod...