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A surgery classification theory is introduced for manifolds of bounded geometry up to quasi-isometry. The Borel conjecture for this theory is proven for flat Euclidean space.

Geometric Topology · Mathematics 2007-05-23 Oliver Attie

A brief history, the current state, and future directions of spin mechanics are presented.

Mesoscale and Nanoscale Physics · Physics 2018-06-20 Joseph E. Losby , Mark R. Freeman

Surgery duration is usually used as an input to the operation room (OR) allocation and surgery scheduling problems. A good estimation of surgery duration benefits the operation planning in ORs. In contrast, we would like to investigate…

Applications · Statistics 2018-01-15 Jin Wang , Ph. D. , Javier Cabrera , Ph. D. , Kwok-Leung Tsui , Ph. D. , Hainan Guo , Ph. D. , Monique Bakker , Ph. D. , John B. Kostis , M. D

An overview of the current data and phenomenology on the structure of the photon and an outline of some opportunities available in the medium term future.

High Energy Physics - Experiment · Physics 2014-11-17 J. M. Butterworth

The purpose of this informal article is to introduce the reader to some of the objects and methods of the theory of p-adic representations. My hope is that students and mathematicians who are new to the subject will find it useful as a…

Number Theory · Mathematics 2010-02-22 Laurent Berger

We present here the concept of Dominated Splitting and give an account of some important results on its dynamics.

Dynamical Systems · Mathematics 2014-03-25 Martin Sambarino

This article formulates a generic representation of a path-following controller operating under contained motion, which was developed in the context of surgical robotics. It reports two types of constrained motion: i) Bilateral Constrained…

Robotics · Computer Science 2023-01-04 Bassem Dahroug , Brahim Tamadazte , Nicolas Andreff

We introduce an orbifold induction procedure which provides a systematic construction of cyclic orbifolds, including their twisted sectors. The procedure gives counterparts in the orbifold theory of all the current-algebraic constructions…

High Energy Physics - Theory · Physics 2014-11-18 L. Borisov , M. B. Halpern , C. Schweigert

Exceptional Dehn surgeries have been classified for 2-bridge knots and Montesinos knots of length at least 4. In this paper we classify all toroidal Dehn surgeries on Montesinos knots of length 3.

Geometric Topology · Mathematics 2009-10-23 Ying-Qing Wu

Suppose F is a compact orientable surface, K is a knot in F x I, and N is the 3-manifold obtained by some non-trivial surgery on K. If F x {0} compresses in N, then there is an annulus in F x I with one end K and the other end an essential…

Geometric Topology · Mathematics 2014-10-01 Martin Scharlemann , Abigail Thompson

This is an overview article on finite type invariants, written for the Encyclopedia of Mathematical Physics

Geometric Topology · Mathematics 2007-05-23 Dror Bar-Natan

We introduce a new operation, double point surgery, on immersed surfaces in a 4-manifold, and use it to construct knotted configurations of surfaces in many 4-manifolds. Taking branched covers, we produce smoothly exotic actions of Z/m x…

Geometric Topology · Mathematics 2018-09-05 Hee Jung Kim , Daniel Ruberman

A fairly brief and complete presentation of the Zwanzig-Mori projection operator technique is given.

Statistical Mechanics · Physics 2025-11-18 Nail Fatkullin

This paper briefly reviews past milestones in the field of medical image reconstruction and describes some future directions. It is part of an overview paper on "open problems in signal processing" that will appear in IEEE Signal Processing…

Medical Physics · Physics 2017-07-20 Jeffrey A. Fessler

This article provides a concise introduction to Bartnik's quasi-local mass, and surveys a selection of results pertaining to the understanding of it. The aim is to serve as both an entry point to the topic, and a quick reference of results…

Differential Geometry · Mathematics 2024-01-11 Stephen McCormick

The notion of a braid is generalized into two and three dimensions. Two-dimensional braids are described by braid monodromies or graphics called charts. In this paper we introduce the notion of curtains, and show that three-dimensional…

Geometric Topology · Mathematics 2013-12-20 J. Scott Carter , Seiichi Kamada

We established a new method called Discrete Weierstrass Fourier Transform, a faster and more generalized Discrete Fourier Transform, to approximate discrete data. The theory of this method as well as some experiments are analyzed in this…

Numerical Analysis · Mathematics 2016-01-07 Sheng Zhang , Brendan Harding

We describe various handle moves in contact surgery diagrams, notably contact analogues of the Kirby moves. As an application of these handle moves, we discuss the respective classifications of long and loose Legendrian knots.

Geometric Topology · Mathematics 2014-02-26 Fan Ding , Hansjörg Geiges

In this short note, we present certain generalized versions of the commutator formulas of some natural operators on manifolds, and give some applications.

Differential Geometry · Mathematics 2011-04-08 Kefeng Liu , Sheng Rao

A treatment is given of the precession of a Foucault pendulum by means of two successive rotational transformations of coordinate system. The simplicity and accuracy of this approach is emphasized.

Classical Physics · Physics 2022-07-12 W. Zimmermann