591 research outputs found
Heegaard genus, cut number, weak p-congruence, and quantum invariants
We use quantum invariants to define a 3-manifold invariant j_p which lies in
the non-negative integers. We relate j_p to the Heegard genus, and the cut
number. We show that j_$ is an invariant of weak p-congruence.Comment: to appear in JKTR. 8pages 1 figur
Maslov index, Lagrangians, Mapping Class Groups and TQFT
Given a mapping class f of an oriented surface Sigma and a lagrangian lambda
in the first homology of Sigma, we define an integer n_{lambda}(f). We use
n_{lambda}(f) (mod 4) to describe a universal central extension of the mapping
class group of Sigma as an index-four subgroup of the extension constructed
from the Maslov index of triples of lagrangian subspaces in the homology of the
surface. We give two descriptions of this subgroup. One is topological using
surgery, the other is homological and builds on work of Turaev and work of
Walker. Some applications to TQFT are discussed. They are based on the fact
that our construction allows one to precisely describe how the phase factors
that arise in the skein theory approach to TQFT-representations of the mapping
class group depend on the choice of a lagrangian on the surface.Comment: 31 pages, 11 Figures. to appear in Forum Mathematicu
Microstructure and velocity of field-driven solid-on-solid interfaces moving under stochastic dynamics with local energy barriers
We study the microscopic structure and the stationary propagation velocity of
(1+1)-dimensional solid-on-solid interfaces in an Ising lattice-gas model,
which are driven far from equilibrium by an applied force, such as a magnetic
field or a difference in (electro)chemical potential. We use an analytic
nonlinear-response approximation [P.A. Rikvold and M. Kolesik, J. Stat. Phys.
100, 377 (2000)] together with kinetic Monte Carlo simulations. Here we
consider interfaces that move under Arrhenius dynamics, which include a
microscopic energy barrier between the allowed Ising/lattice-gas states. Two
different dynamics are studied: the standard one-step dynamic (OSD) [H.C. Kang
and W. Weinberg, J. Chem. Phys. 90, 2824 (1992)] and the two-step
transition-dynamics approximation (TDA) [T. Ala-Nissila, J. Kjoll, and S.C.
Ying, Phys. Rev. B 46, 846 (1992)]. In the OSD the effects of the applied force
and the interaction energies in the model factorize in the transition rates (a
soft dynamic), while in the TDA such factorization is not possible (a hard
dynamic). In full agreement with previous general theoretical results we find
that the local interface width under the TDA increases dramatically with the
applied force. In contrast, the interface structure with the OSD is only weakly
influenced by the force, in qualitative agreement with the theoretical
expectations. Results are also obtained for the force-dependence and anisotropy
of the interface velocity, which also show differences in good agreement with
the theoretical expectations for the differences between soft and hard
dynamics. Our results confirm that different stochastic interface dynamics that
all obey detailed balance and the same conservation laws nevertheless can lead
to radically different interface responses to an applied force.Comment: 18 pages RevTex. Minor revisions. Phys. Rev. B, in pres
Effects of Lateral Diffusion on the Dynamics of Desorption
The adsorbate dynamics during simultaneous action of desorption and lateral
adsorbate diffusion is studied in a simple lattice-gas model by kinetic Monte
Carlo simulations. It is found that the action of the coverage-conserving
diffusion process during the course of the desorption has two distinct,
competing effects: a general acceleration of the desorption process, and a
coarsening of the adsorbate configuration through Ostwald ripening. The balance
between these two effects is governed by the structure of the adsorbate layer
at the beginning of the desorption process
The Antifungal Plant Defensin HsAFP1 from Heuchera sanguinea Induces Apoptosis in Candida albicans
Plant defensins are active against plant and human pathogenic fungi (such as Candida albicans) and baker's yeast. However, they are non-toxic to human cells, providing a possible source for treatment of fungal infections. In this study, we characterized the mode of action of the antifungal plant defensin HsAFP1 from coral bells by screening the Saccharomyces cerevisiae deletion mutant library for mutants with altered HsAFP1 sensitivity and verified the obtained genetic data by biochemical assays in S. cerevisiae and C. albicans. We identified 84 genes, which when deleted conferred at least fourfold hypersensitivity or resistance to HsAFP1. A considerable part of these genes were found to be implicated in mitochondrial functionality. In line, sodium azide, which blocks the respiratory electron transport chain, antagonized HsAFP1 antifungal activity, suggesting that a functional respiratory chain is indispensable for HsAFP1 antifungal action. Since mitochondria are the main source of cellular reactive oxygen species (ROS), we investigated the ROS-inducing nature of HsAFP1. We showed that HsAFP1 treatment of C. albicans resulted in ROS accumulation. As ROS accumulation is one of the phenotypic markers of apoptosis in yeast, we could further demonstrate that HsAFP1 induced apoptosis in C. albicans. These data provide novel mechanistic insights in the mode of action of a plant defensin
Monte Carlo with Absorbing Markov Chains: Fast Local Algorithms for Slow Dynamics
A class of Monte Carlo algorithms which incorporate absorbing Markov chains
is presented. In a particular limit, the lowest-order of these algorithms
reduces to the -fold way algorithm. These algorithms are applied to study
the escape from the metastable state in the two-dimensional square-lattice
nearest-neighbor Ising ferromagnet in an unfavorable applied field, and the
agreement with theoretical predictions is very good. It is demonstrated that
the higher-order algorithms can be many orders of magnitude faster than either
the traditional Monte Carlo or -fold way algorithms.Comment: ReVTeX, Request 3 figures from [email protected]
Predictors of Burnout in Public Library Employees
Work stress and professional burnout are recognized as concerns for public library employees, yet little research has been conducted. The purpose of the current study was to better understand burnout and the contributing factors in a state-wide sample of public library employees in Indiana. Using a web-based survey, 171 employees of public libraries reported their level of burnout (emotional exhaustion, cynicism, and professional efficacy; Maslach Burnout Inventory-General Survey) and potential predictors, including levels of autonomy, co-worker support, work pressure, technology attitudes, and recovery experiences. A subset of 70 completed the burnout measures twice, allowing for predictions of change over time. Most predictors were correlated with burnout cross-sectionally, except for technology attitudes. Emotional exhaustion was positively associated with work pressure, and negatively associated with autonomy, role clarity, coworker support, and recovery experiences of relaxation, mastery, and control. Similar patterns were found for cynicism and reduced efficacy. However, over a period of approximately six months, only role clarity predicted decreased burnout (emotional exhaustion) above prior levels of burnout
New distinguished classes of spectral spaces: a survey
In the present survey paper, we present several new classes of Hochster's
spectral spaces "occurring in nature", actually in multiplicative ideal theory,
and not linked to or realized in an explicit way by prime spectra of rings. The
general setting is the space of the semistar operations (of finite type),
endowed with a Zariski-like topology, which turns out to be a natural
topological extension of the space of the overrings of an integral domain,
endowed with a topology introduced by Zariski. One of the key tool is a recent
characterization of spectral spaces, based on the ultrafilter topology, given
in a paper by C. Finocchiaro in Comm. Algebra 2014. Several applications are
also discussed
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