Search results for "36"

showing 10 items of 1917 documents

Birman's conjecture for singular braids on closed surfaces

2003

Let M be a closed oriented surface of genus g≥1, let Bn(M) be the braid group of M on n strings, and let SBn(M) be the corresponding singular braid monoid. Our purpose in this paper is to prove that the desingularization map η : SBn(M)→ℤ[Bn(M)], introduced in the definition of the Vassiliev invariants (for braids on surfaces), is injective.

[ MATH.MATH-GT ] Mathematics [math]/Geometric Topology [math.GT]MonoidPure mathematics[ MATH.MATH-GR ] Mathematics [math]/Group Theory [math.GR]Braid group20F36Group Theory (math.GR)01 natural sciences[MATH.MATH-GR]Mathematics [math]/Group Theory [math.GR]Mathematics - Geometric TopologyMathematics::Group Theory[MATH.MATH-GT]Mathematics [math]/Geometric Topology [math.GT]Mathematics::Category TheoryMathematics::Quantum AlgebraGenus (mathematics)0103 physical sciencesFOS: MathematicsBraid0101 mathematicsMathematics[MATH.MATH-GT] Mathematics [math]/Geometric Topology [math.GT][MATH.MATH-GR] Mathematics [math]/Group Theory [math.GR]Algebra and Number TheoryConjecture010102 general mathematicsGeometric Topology (math.GT)20F36;57M27Braid theorySurface (topology)Mathematics::Geometric TopologyInjective function57M27010307 mathematical physicsMathematics - Group Theory
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A note on the Lawrence-Krammer-Bigelow representation

2002

A very popular problem on braid groups has recently been solved by Bigelow and Krammer, namely, they have found a faithful linear representation for the braid group B_n. In their papers, Bigelow and Krammer suggested that their representation is the monodromy representation of a certain fibration. Our goal in this paper is to understand this monodromy representation using standard tools from the theory of hyperplane arrangements. In particular, we prove that the representation of Bigelow and Krammer is a sub-representation of the monodromy representation which we consider, but that it cannot be the whole representation.

[ MATH.MATH-GT ] Mathematics [math]/Geometric Topology [math.GT]Pure mathematicsLinear representation[ MATH.MATH-GR ] Mathematics [math]/Group Theory [math.GR]Braid group20F36Group Theory (math.GR)52C3001 natural sciences[MATH.MATH-GR]Mathematics [math]/Group Theory [math.GR]52C35Mathematics - Geometric TopologyMathematics::Group TheoryMathematics::Algebraic Geometry[MATH.MATH-GT]Mathematics [math]/Geometric Topology [math.GT]0103 physical sciencesFOS: Mathematics20F36 52C35 52C30 32S22braid groups0101 mathematicsMathematics::Representation TheoryComputingMilieux_MISCELLANEOUSMathematics[MATH.MATH-GT] Mathematics [math]/Geometric Topology [math.GT][MATH.MATH-GR] Mathematics [math]/Group Theory [math.GR]linear representations010102 general mathematicsRepresentation (systemics)FibrationSalvetti complexesGeometric Topology (math.GT)Mathematics::Geometric TopologyHyperplaneMonodromy010307 mathematical physicsGeometry and TopologyMathematics - Group Theory32S22
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From braid groups to mapping class groups

2005

This paper is a survey of some properties of the braid groups and related groups that lead to questions on mapping class groups.

[ MATH.MATH-GT ] Mathematics [math]/Geometric Topology [math.GT][ MATH.MATH-GR ] Mathematics [math]/Group Theory [math.GR]20F3620F36; 57M99Geometric Topology (math.GT)Group Theory (math.GR)[MATH.MATH-GR]Mathematics [math]/Group Theory [math.GR]Mathematics - Geometric Topology57M99[MATH.MATH-GT]Mathematics [math]/Geometric Topology [math.GT]FOS: MathematicsMathematics - Group Theory[MATH.MATH-GR] Mathematics [math]/Group Theory [math.GR][MATH.MATH-GT] Mathematics [math]/Geometric Topology [math.GT]Proceedings of Symposia in Pure Mathematics
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On the classification of CAT(0) structures for the 4-string braid group

2005

This paper is concerned with the class of so-called CAT(0) groups, namely, those groups that admit a geometric (i.e., properly discontinuous, co-compact, and isometric) action on some CAT(0) space. More precisely, we are interested in knowing to what extent it is feasible to classify the geometric CAT(0) actions of a given group (up to, say, equivariant homothety of the space). A notable example of such a classification is the flat torus theorem, which implies that the minimal geometric CAT(0) actions of the free abelian group Z (n ≥ 1) are precisely the free actions by translations of Euclidean space E. Typically, however, a given group will have uncountably many nonequivalent actions, mak…

[ MATH.MATH-GT ] Mathematics [math]/Geometric Topology [math.GT][ MATH.MATH-GR ] Mathematics [math]/Group Theory [math.GR]General Mathematics20F56Braid group20F36Center (group theory)01 natural sciences[MATH.MATH-GR]Mathematics [math]/Group Theory [math.GR]Combinatoricssymbols.namesakeEuler characteristic[MATH.MATH-GT]Mathematics [math]/Geometric Topology [math.GT]0103 physical sciences0101 mathematicsComputingMilieux_MISCELLANEOUSMathematics[MATH.MATH-GR] Mathematics [math]/Group Theory [math.GR][MATH.MATH-GT] Mathematics [math]/Geometric Topology [math.GT]Euclidean spaceGroup (mathematics)010102 general mathematicsFree abelian groupAlgebraFree groupsymbolsEquivariant map010307 mathematical physics
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A Hard Look at the Neutron Stars and Accretion Disks in 4U 1636-53, GX 17+2, and 4U 1705-44 with NuStar

2017

We present $\emph{NuSTAR}$ observations of neutron star (NS) low-mass X-ray binaries: 4U 1636-53, GX 17+2, and 4U 1705-44. We observed 4U 1636-53 in the hard state, with an Eddington fraction, $F_{\mathrm{Edd}}$, of 0.01; GX 17+2 and 4U 1705-44 were in the soft state with fractions of 0.57 and 0.10, respectively. Each spectrum shows evidence for a relativistically broadened Fe K$_{\alpha}$ line. Through accretion disk reflection modeling, we constrain the radius of the inner disk in 4U 1636-53 to be $R_{in}=1.03\pm0.03$ ISCO (innermost stable circular orbit) assuming a dimensionless spin parameter $a_{*}=cJ/GM^{2}=0.0$, and $R_{in}=1.08\pm0.06$ ISCO for $a_{*}=0.3$ (errors quoted at 1 $\sig…

[ PHYS.ASTR ] Physics [physics]/Astrophysics [astro-ph]FOS: Physical sciencesAstrophysics01 natural sciencesstars: neutronX-rays: binariesSettore FIS/05 - Astronomia E Astrofisicaaccretion0103 physical sciencesaccretion accretion disks stars: neutron X-rays: binaries X-rays: individual: 4U 1636-53 GX 17+2 4U 1705-44010303 astronomy & astrophysicsLine (formation)Spin-½PhysicsHigh Energy Astrophysical Phenomena (astro-ph.HE)Accretion (meteorology)010308 nuclear & particles physicsEquation of state (cosmology)neutron X-rays: binaries X-rays: individual: 4U 1636-53 GX 17+2 4U 1705-44 [accretion accretion disks stars]accretion disksAstronomy and AstrophysicsRadiusNeutron starReflection (mathematics)Space and Planetary Science[SDU]Sciences of the Universe [physics]Astrophysics - High Energy Astrophysical Phenomena[PHYS.ASTR]Physics [physics]/Astrophysics [astro-ph]X-rays: individualDimensionless quantity
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Hyperfine Paschen-Back regime realized in Rb nanocell

2012

A simple and efficient scheme based on one-dimensional nanometric thin cell filled with Rb and strong permanent ring magnets allowed direct observation of hyperfine Paschen-Back regime on D1 line in 0.5 - 0.7 T magnetic field. Experimental results are perfectly consistent with the theory. In particular, with sigma+ laser excitation, the slopes of B-field dependence of frequency shift for all the 10 individual transitions of 85,87Rb are the same and equal to 18.6 MHz/mT. Possible applications for magnetometry with submicron spatial resolution and tunable atomic frequency references are discussed.

[ PHYS.QPHY ] Physics [physics]/Quantum Physics [quant-ph]Atomic Physics (physics.atom-ph)MagnetometerFOS: Physical sciences01 natural sciencesPhysics - Atomic Physicslaw.invention010309 optics[PHYS.QPHY]Physics [physics]/Quantum Physics [quant-ph]law0103 physical sciencesOCIS codes: 020.1335 300.6360010306 general physicsHyperfine structure[PHYS.QPHY] Physics [physics]/Quantum Physics [quant-ph]Line (formation)PhysicsNanocellLaserRubidiumAtomic and Molecular Physics and OpticsMagnetic fieldnanocellMagnetHyperfineAtomic physicsPaschen-BackExcitation
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L'héritage incertain du komintern

2016

International audience; ...

[ SHS.HIST ] Humanities and Social Sciences/HistoryCritique et interprétationPoulantzas[SHS.HIST] Humanities and Social Sciences/HistoryMarxismeNicos Ar (1936-1979)[SHS.HIST]Humanities and Social Sciences/HistoryComputingMilieux_MISCELLANEOUSCommunisme
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L’Association internationale des travailleurs après la Révolution espagnole (1939-années 1990). Principes, tactiques et finalités anarcho-syndicalist…

2017

position de thèse; International audience

[ SHS.HIST ] Humanities and Social Sciences/History[SHS.HIST] Humanities and Social Sciences/HistoryConfédération nationale du travail (CNT)anarcho-syndicalismeAssociation internationale des travailleurs (AIT)internationalismeGuerre d’Espagne (1936-1939)[SHS.HIST]Humanities and Social Sciences/History
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1934-1936. Un moment antifasciste

2014

International audience

[ SHS.HIST ] Humanities and Social Sciences/History[SHS.HIST] Humanities and Social Sciences/Historymoment antifasciste1934[SHS.HIST]Humanities and Social Sciences/History1936ComputingMilieux_MISCELLANEOUS
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Design of a Real-time face detection parallel architecture using High-Level Synthesis

2008

Abstract We describe a High-Level Synthesis implementation of a parallel architecture for face detection. The chosen face detection method is the well-known Convolutional Face Finder (CFF) algorithm, which consists of a pipeline of convolution operations. We rely on dataflow modelling of the algorithm and we use a high-level synthesis tool in order to specify the local dataflows of our Processing Element (PE), by describing in C language inter-PE communication, fine scheduling of the successive convolutions, and memory distribution and bandwidth. Using this approach, we explore several implementation alternatives in order to find a compromise between processing speed and area of the PE. We …

[INFO.INFO-AR]Computer Science [cs]/Hardware Architecture [cs.AR][INFO.INFO-AR] Computer Science [cs]/Hardware Architecture [cs.AR]General Computer ScienceVideo Graphics ArrayComputer scienceDataflowlcsh:Electronicslcsh:TK7800-8360020207 software engineering02 engineering and technologyParallel computing020202 computer hardware & architectureConvolutionScheduling (computing)Control and Systems EngineeringHigh-level synthesis0202 electrical engineering electronic engineering information engineeringParallel architecture[ INFO.INFO-AR ] Computer Science [cs]/Hardware Architecture [cs.AR]ArchitectureFace detectionComputingMilieux_MISCELLANEOUSComputer Science(all)
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