291 research outputs found
Tradeswomen: A Winning Ticket- A Report Prepared for the Conference.
Get PDFReport (draft) authored by Kate Braid and Heather Mayer before the Tradeswomen conference. Includes statistical, qualitative researc
Tradeswomen: A Winning Ticket- Final Conference Report.
Get PDFFinal Conference Report evaluates and analyzes the Tradeswomen Conference. Kate Braid reports on events leading up to the conference, the conference, and follow-ups after the conferenc
Braid Entropy of Faraday Waves driven 2D Turbulence
No full textWe report new experimental results that use tools from braid theory to characterize two-dimensional turbulent flows driven by Faraday waves. The average topological length of the material fluid lines is found to grow exponentially with time. It allows us to compute the braid’s topological entropy SBraid. We show that SBraid increases as the square root of the turbulence kinetic energy E ~ u^2, where u^2 is the horizontal velocity variance . At long times, the PDFs of Lbraid are positively skewed and present strong exponential tails
Presentations of Schur covers of braid groups
No full textIn this paper, we consider several basic facts of Schur covers of the symmetric groups and braid groups. In particular, we give explicit presentations of Schur covers of braid groups
Place as Text: Approaches to Active Learning (Second Edition)
Get PDFCONTENTS
Dedication and Acknowledgments
Preface to the Second Edition — Ada Long and Bernice Braid
Introduction — Bernice Braid
Honors Semesters: Anatomy of Active Learning — William Daniel
Honors Semesters: An Architecture of Active Learning — Bernice Braid
Internal Assessment of Honors Semesters — Ann Raia
External Evaluation of Honors Semesters — Ada Long
Student Perspectives on Honors Semesters — Elizabeth Beck
Other Structural Models of Active Learning
City as Text™ — Bernice Braid
Faculty Institutes — William Daniel
Summer High School Field Experiences — Bernice Braid
Sleeping Bag Seminars — Joan Digby
College Recruitment Exercises — Bernadette Low
Orientation Exercises — Bernadette Low
Professional Development Exercises — Bernadette Low
Other Courses — Bernadette Low
Partners in the Parks — Joan Digby
Public Products of Personal Discoveries — Ada Long
An Example of Active Learning in the College Classroom — Shirley Forbes Thomas
Active Learning in a National Context
Honors Milestones — Ann Raia, Rosalie Saltzman, and Ada Long
Future Directions — Ada Long
Recommended Readings — Bernice Braid and Ada Long
Appendices
Planning an Honors Semester — Elizabeth Beck and Lillian Mayberry
Planning a City as Text™ Walkabout — Bernice Braid
Planning a Sleeping Bag Seminar — Joan Digby
Resource People — Ada Long
Sample Honors Semester Evaluation Forms: Pre-Semester Faculty Questionnaire • End-of-Semester Faculty Questionnaire • Post-Semester Faculty Evaluation/Assessment • Pre-Semester Student Questionnaire • End-of-Semester Student Questionnaire • Post-Semester Student Assessment/Evaluation • End-of-Semester Evaluator’s Summary of Group Discussion
About the Author
Affine braid group actions on derived categories of springer resolutions
Get PDFAuthor Manuscript 14 May 2011In this paper we construct and study an action of the affine braid group associated to a semi-simple algebraic group on derived categories of coherent sheaves on various varieties related to the Springer resolution of the nilpotent cone. In particular, we describe explicitly the action of the Artin braid group. This action is a "categorical version" of Kazhdan--Lusztig--Ginzburg's construction of the affine Hecke algebra, and is used in particular by the first author and Ivan Mirkovic in the course of the proof of Lusztig's conjectures on equivariant K-theory of Springer fibers
Design and characterization of three dimensional twist-braid scaffolds for anterior cruciate ligament replacement
No full textThe anterior cruciate ligament (ACL) is the most commonly injured ligament in the knee, with more than 350,000 ACL injuries reported annually in the United States. Current treatments include the use of autografts and allografts which have a number of disadvantages. Previous attempts to use synthetic materials in ligament replacement have been unsuccessful due to their inability to replicate the long-term mechanical properties of the native ligament. This project focuses on developing twist-braid poly(L-lactic acid) (PLLA) scaffolds for ACL replacement. Poly(ethylene glycol) diacrylate (PEGDA) was incorporated into the twist-braid scaffolds to evaluate its impact on their mechanical behavior. The twist-braid scaffolds were also compared with braided scaffolds. Scaffold mechanical properties were evaluated based on stress-relaxation, tensile and fatigue properties of the braided-only, twist-braid and the twist-braid scaffolds with PEGDA. All the scaffolds exhibited properties comparable to the native human ACL with the twist-braid scaffolds displaying resistance to fatigue. Scaffolds were seeded with rat patellar tendon fibroblasts. The cell viability and amount of protein released was studied over a course of 8 weeks. The scaffolds were stained with picrosirius red after 8 weeks to show the deposition of extracellular matrix by the cells. The results from this study showed that the twist-braid scaffolds have properties most suitable for ligament replacement.M.S.Includes bibliographical referencesby Shreya Madhavarap
Torsion subgroups of quasi-abelianized braid groups
No full textInternational audienceThis article deals with braid groups of complex reflection groups as introduced in [2]. We present results in two directions. First, we extend the works of Goncalves, Guaschi, Ocampo [5] and Marin [7] on finite subgroups of the quotients of generalized braid groups by the derived subgroup of their pure braid group. We get explicit criteria for subgroups of the (complex) reflection group to lift to subgroups of this quotient. In the specific case of the classical braid group, this enables us to describe all its finite subgroups: we show that every odd-order finite group can be embedded in it, when the number of strands goes to infinity. We also determine a complete list of the irreducible reflection groups for which this quotient is a Bieberbach group. In the second part, we describe the abelianization of the inverse image of a subgroup of a reflection group in its generalized braid group generalizing results of the first author [1]. In particular, these abelianized groups are not necessarily torsion-free. (C) 2019 Elsevier Inc. All rights reserved
Higher Braid Groups and Regular Semigroups from Polyadic-Binary Correspondence
No full textIn this note, we first consider a ternary matrix group related to the von Neumann regular semigroups and to the Artin braid group (in an algebraic way). The product of a special kind of ternary matrices (idempotent and of finite order) reproduces the regular semigroups and braid groups with their binary multiplication of components. We then generalize the construction to the higher arity case, which allows us to obtain some higher degree versions (in our sense) of the regular semigroups and braid groups. The latter are connected with the generalized polyadic braid equation and R-matrix introduced by the author, which differ from any version of the well-known tetrahedron equation and higher-dimensional analogs of the Yang-Baxter equation, n-simplex equations. The higher degree (in our sense) Coxeter group and symmetry groups are then defined, and it is shown that these are connected only in the non-higher case
Basic results on braid groups
Get PDFThese are Lecture Notes of a course given by the author at the French-Spanish School Tresses in Pau, held in Pau (France) in October 2009. It is basically an introduction to distinct approaches and techniques that can be used to show results in braid groups. Using these techniques we provide several proofs of well known results in braid groups, namely the correctness of Artin’s presentation, that the braid group is torsion free, or that its center is generated by the full twist. We also recall some solutions of the word and conjugacy problems, and that roots of a braid are always conjugate. We also describe the centralizer of a given braid. Most proofs are classical ones,
using modern terminology. I have chosen those which I find simpler
or more beautiful.Cet article contient les notes d’un course donné par l’auteur à l’Ecole Franco-Espagnole Tresses in Pau, qui a eu lieu à Pau (France) en Octobre 2009. Il s’agit essentiellement d’une introduction aux différents points des vue et techniques qui peuvent étre utilises pour montrer des résultats dans les groupes de tresses. En utilisant ces techniques on montre quelques résultats bien connus dans les groupes de tresses, à savoir l’exactitude de la presentation d’Artin, le fait que les groupes de tresses sont sans torsion, ou que son centre est engendré par le full twist. On rappelle quelques solutions des problèmes du mot et de la conjugaison, et aussi que les racines d’une tresse sont toutes conjuguées. On décrit aussi le centralisateur d’une tresse donnée. La plupart des preuves sont classiques, en utilisant de la terminologie moderne. J’ai choisi celles qui je trouve plus simples ou plus jolies.Austrailan Research Council's DiscoveryMinisterio de Educación y CienciaMinisterio de Ciencia e InnovaciónJunta de AndalucíaFondo Europeo de Desarrollo Regiona
- …
