Degeneration of Heegaard genus, a survey

We survey known (and unknown) results about the behavior of Heegaard genus of 3-manifolds constructed via various gluings. The constructions we consider are (1) gluing together two 3-manifolds with incompressible boundary, (2) gluing together the boundary components of surface times I, and (3) gluing a handlebody to the boundary of a 3-manifold. We detail those cases in which it is known when the Heegaard genus is less than what is expected after gluing.Comment: This is the version published by Geometry & Topology Monographs on 3 December 200

Transportation in McMinnville 100 Years Ago

Our project presents a historical view of transportation and its development in McMinnville in the 1910s, especially in 1912. McMinnville was incorporated as a town in 1876 and became a city in 1882. At the time, people still frequently rode horses (including stagecoaches), and the Yamhill River provided an early artery for pioneer travel and commerce. Then rails expanded in Oregon in the late 1800s and became a popular mode of transportation in the early 20th century. By the 1910s, horses, steamboats, rails, and cars were four major modes of transportation in McMinnville

Response and optimization of an isolation system with relaxation type damping

Response and optimization of isolation system with relaxation type dampin

Stabilization, amalgamation, and curves of intersection of Heegaard splittings

We address a special case of the Stabilization Problem for Heegaard splittings, establishing an upper bound on the number of stabilizations required to make a Heegaard splitting of a Haken 3-manifold isotopic to an amalgamation along an essential surface. As a consequence we show that for any positive integer $n$ there are 3-manifolds containing an essential torus and a Heegaard splitting such that the torus and splitting surface must intersect in at least $n$ simple closed curves. These give the first examples of lower bounds on the minimum number of curves of intersection between an essential surface and a Heegaard surface that are greater than one.Comment: Version for publication. To appear in Algebraic and Geometric Topolog

Loss factor and resonant frequency of viscoelastic shear-damped structural composites

Loss factor and resonant frequency of viscoelastic shear damped structural composite

Thermal-capillary model for Czochralski growth of semiconductor materials

The success of efficiently calculating the temperature field, crystal radius, melt mensicus, and melt/solid interface in the Czochralski crystal growth system by full finite-element solution of the government thermal-capillary model is demonstrated. The model predicts realistic response to changes in pull rate, melt volume, and the thermal field. The experimentally observed phenomena of interface flipping, bumping, and the difficulty maintaining steady-state growth as the melt depth decreases are explained by model results. These calculations will form the basis for the first quantitative picture of Cz crystal growth. The accurate depiction of the melt meniscus is important in calculating the crystal radius and solidification interface. The sensitivity of the results to the equilibrium growth angle place doubt on less sophisticated attempts to model the process without inclusion of the meniscus. Quantitative comparison with experiments should be possible once more representation of the radiation and view factors in the thermal system and the crucible are included. Extensions of the model in these directions are underway

Visualising painting: a space drawn in ratio

This text was contributed to the catalogue published on the occasion of the exhibition, 'LIMBER: Spatial Painting Practices', curated by Cherry Smyth and Jost Münster. The exhibition was held at the Herbert Read Gallery, Canterbury, University for the Creative Arts (UCA), from 13 September to 12 October 2013, and at the Grandes Galleries de l’Erba, Rouen, France, from 21 November to 20 December 2013. As a part of the ICR (Interregional Culture-led Regeneration) Project and co-financed by the European Union INTERREG IVA Channel programme and UCA Research, this exhibition presented a group of international artists who explore and expand painting through a constructed 3D materiality. This dynamic new work engages not only with the history of painting but with the increasing dominance of virtual structures and the growing influence of architecture, fashion and design. A symposium held on 5 October 2013 at UCA elaborated on these ideas. The exhibition catalogue includes texts by Uwe Derksen and Thierry Heynen, Cherry Smyth, Dominic Rhatz, Maxence Alcalde, Moyra Derby, Lucile Encrevé, and Stephen Wilson