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Search Results: 1 - 10 of 25368 matches for " Paul Turner "
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A functorial approach to differential characters
Paul Turner
Mathematics , 2002, DOI: 10.2140/agt.2004.4.81
Abstract: We describe Cheeger-Simons differential characters in terms of a variant of Turaev's homotopy quantum field theories based on chains in a smooth manifold X.
Calculating Bar-Natan's characteristic two Khovanov homology
Paul Turner
Mathematics , 2004,
Abstract: We investigate Bar-Natan's characteristic two Khovanov link homology theory studying both the filtered and bi-graded theories. The filtered theory is computed explicitly and the bi-graded theory analysed by setting up a family of spectral sequences. The E_2-pages can be described in terms of groups arising from the action of a certain endomorphism on mod 2 Khovanov homology. Some simple consequences are discussed.
Five Lectures on Khovanov Homology
Paul Turner
Mathematics , 2006,
Abstract: These lecture notes, which were designed for the Summer School "Heegaard-Floer Homology and Khovanov Homology" in Marseilles, 29th May - 2nd June, 2006, provide an elementary introduction to Khovanov homology. The intended audience is graduate students with some minimal background in low-dimensional and algebraic topology. The lectures cover the basic definitions, important properties, a number of variants and some applications. At the end of each lecture the reader is referred to the relevant literature for further reading.
A spectral sequence for Khovanov homology with an application to (3,q)-torus links
Paul Turner
Mathematics , 2006, DOI: 10.2140/agt.2008.8.869
Abstract: A spectral sequence converging to Khovanov homology is constructed which is applied to calculate the rational Khovanov homology of (3,q)-torus links.
A hitchhiker's guide to Khovanov homology
Paul Turner
Mathematics , 2014,
Abstract: These notes from the 2014 summer school Quantum Topology at the CIRM in Luminy attempt to provide a rough guide to a selection of developments in Khovanov homology over the last fifteen years.
Changes in Excitability of the Motor Cortex Associated with Internal Model Formation during Intrinsic Visuomotor Learning in the Upper Arm  [PDF]
Timothy Hunter, Paul Sacco, Duncan L. Turner
Journal of Behavioral and Brain Science (JBBS) , 2011, DOI: 10.4236/jbbs.2011.13019
Abstract: Previous studies have shown that the primary motor cortex (M1) may drive part of the feed forward control of well learnt simple movements by specifying patterns of muscle activation. This study explored the role of the M1 in the feed forward control of newly formed movement patterns after motor adaptation. Ten healthy right-handed subjects performed planar, centre-out arm reaching movement trials with a robotic manipulandum in three phases: a null force field (baseline), a velocity-dependent force field (adaptation; 25 Nsm-1) and again in a null force field (deadaptation). Reaching error and voluntary EMG were recorded from the biceps and triceps before, during and after motor adaptation. We also explored the effects of motor adaptation on evoked responses to single and paired pulse Transcranial Magnetic Stimulation from the same muscles at different delays after a visual go command, but before the onset of voluntary muscle activity. After the force field was removed, subjects produced reaching overshoot characteristic of adaptive internal model formation. Following motor adaptation, there was a significant increase in corticospinal excitability, reduction in short interval intracortical inhibition and increase in short interval intracortical facilitation that was associated with a sustained increase in voluntary muscle activity in the biceps. The adaptation-driven increase in reaching overshoot coupled with the increase in voluntary activity, corticospinal and intracortical excitability in the biceps suggests that the M1 may specify some of the feed forward components of newly learnt internal models through the control of specific muscles.
The Molecular Epidemiology of Chronic Aflatoxin Driven Impaired Child Growth
Paul Craig Turner
Scientifica , 2013, DOI: 10.1155/2013/152879
Abstract: Aflatoxins are toxic secondary fungal metabolites that contaminate dietary staples in tropical regions; chronic high levels of exposure are common for many of the poorest populations. Observations in animals indicate that growth and/or food utilization are adversely affected by aflatoxins. This review highlights the development of validated exposure biomarkers and their use here to assess the role of aflatoxins in early life growth retardation. Aflatoxin exposure occurs in utero and continues in early infancy as weaning foods are introduced. Using aflatoxin-albumin exposure biomarkers, five major studies clearly demonstrate strong dose response relationships between exposure in utero and/or early infancy and growth retardation, identified by reduced birth weight and/or low HAZ and WAZ scores. The epidemiological studies include cross-sectional and longitudinal surveys, though aflatoxin reduction intervention studies are now required to further support these data and guide sustainable options to reduce the burden of exposure. The use of aflatoxin exposure biomarkers was essential in understanding the observational data reviewed and will likely be a critical monitor of the effectiveness of interventions to restrict aflatoxin exposure. Given that an estimated 4.5 billion individuals live in regions at risk of dietary contamination the public health concern cannot be over stated. 1. Introduction Fungal toxins, also known as mycotoxins, are frequent contaminants of dietary staples for much of the world. These potent dietary toxins are estimated to contaminate 25% of the world’s cereal crops [1] making exposure frequent among many populations. Among the hundreds of mycotoxins identified, those of major public health concern include aflatoxins produced from Aspergillus fungi and both the fumonisins and the trichothecenes (e.g., deoxynivalenol (DON), nivalenol, and T2-toxin) from Fusarium fungi. Aflatoxins and fumonisins tend to be more frequent contaminants of crops in hot and humid climates as in Central America, tropical Asia, and sub-Saharan Africa where staple foods such as maize and groundnuts (peanuts) are often contaminated. Trichothecenes tend to occur more frequently in more temperate regions including parts of Asia, Europe, and North and South America [1]. This review will focus on the toxicology of the aflatoxins, the need for the development of exposure biomarkers to improve our understanding of the etiology of aflatoxin driven chronic diseases, and specifically in this review the use of aflatoxin exposure biomarkers in revealing aflatoxins role in
Bar-Natan's Khovanov homology for coloured links
Marco Mackaay,Paul Turner
Mathematics , 2005,
Abstract: Using Bar-Natan's Khovanov homology we define a homology theory for coloured, oriented, framed links. We then compute this explicitly.
Homology of coloured posets: a generalisation of Khovanov's cube construction
Brent Everitt,Paul Turner
Mathematics , 2007,
Abstract: We define a homology theory for a certain class of posets equipped with a representation. We show that when restricted to Boolean lattices this homology is isomorphic to the homology of the "cube" complex defined by Khovanov.
Unoriented topological quantum field theory and link homology
Vladimir Turaev,Paul Turner
Mathematics , 2005, DOI: 10.2140/agt.2006.6.1069
Abstract: We investigate link homology theories for stable equivalence classes of link diagrams on orientable surfaces. We apply (1+1)-dimensional unoriented topological quantum field theories to Bar-Natan's geometric formalism to define new theories for stable equivalence classes.
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