Search results for "Mathematics::Geometric Topology"

showing 10 items of 117 documents

Coordinates for quasi-Fuchsian punctured torus space

1998

We consider complex Fenchel-Nielsen coordinates on the quasi-Fuchsian space of punctured tori. These coordinates arise from a generalisation of Kra's plumbing construction and are related to earthquakes on Teichmueller space. They also allow us to interpolate between two coordinate systems on Teichmueller space, namely the classical Fuchsian space with Fenchel-Nielsen coordinates and the Maskit embedding. We also show how they relate to the pleating coordinates of Keen and Series.

Pure mathematicsMathematics::Dynamical SystemsLog-polar coordinatesMathematical analysisCanonical coordinatesGeometric Topology (math.GT)Action-angle coordinates20H10 32G15Plücker coordinatesParabolic coordinatesMathematics::Geometric TopologyMathematics - Geometric TopologyOrthogonal coordinatesFOS: MathematicsConfiguration spaceMathematicsBipolar coordinates
researchProduct

On BLD-mappings with small distortion

2021

We show that every $$L$$ -BLD-mapping in a domain of $$\mathbb {R}^{n}$$ is a local homeomorphism if $$L < \sqrt{2}$$ or $$K_I(f) < 2$$ . These bounds are sharp as shown by a winding map.

Pure mathematicsPartial differential equationFunctional analysisMathematics - Complex VariablesLocal homeomorphismBLD-mappings010102 general mathematicsbranch setA domain30C65 57M12 30L10quasiregular mappingsMetric Geometry (math.MG)General MedicineAlgebraic geometry01 natural scienceslocal homeomorphismMathematics::Geometric TopologyDistortion (mathematics)010104 statistics & probabilityMathematics - Metric Geometry111 MathematicsFOS: Mathematics0101 mathematicsComplex Variables (math.CV)Mathematics
researchProduct

A closed formula for the evaluation of foams

2020

International audience; We give a purely combinatorial formula for evaluating closed, decorated foams. Our evaluation gives an integral polynomial and is directly connected to an integral, equivariant version of colored Khovanov-Rozansky link homology categorifying the sl(N) link polynomial. We also provide connections to the equivariant cohomology rings of partial flag varieties.

Pure mathematicscoherent sheaveskhovanov-rozansky homology01 natural sciencesMathematics::Algebraic Topologylink homologiesMathematics::K-Theory and HomologyMathematics::Quantum Algebra[MATH.MATH-GT]Mathematics [math]/Geometric Topology [math.GT]0103 physical sciences[MATH]Mathematics [math]010306 general physicsMathematics::Symplectic GeometryMathematical PhysicsMathematicswebsmodel010308 nuclear & particles physicsmodulesmatrix factorizationscategoriesFoamsMathematics::Geometric TopologyTQFTknot floer homologyholomorphic disksGeometry and Topologyinvariantstangle
researchProduct

Anomalous Anosov flows revisited

2017

This paper is devoted to higher dimensional Anosov flows and consists of two parts. In the first part, we investigate fiberwise Anosov flows on affine torus bundles which fiber over 3-dimensional Anosov flows. We provide a dichotomy result for such flows --- they are either suspensions of Anosov diffeomorphisms or the stable and unstable distributions have equal dimensions. In the second part, we give a new surgery type construction of Anosov flows, which yields non-transitive Anosov flows in all odd dimensions.

Pure mathematicsdiffeomorphismsMathematics::Dynamical Systems37D30Fiber (mathematics)General Mathematics010102 general mathematics37D30 (primary)TorusGeometric Topology (math.GT)Dynamical Systems (math.DS)Type (model theory)01 natural sciencesMathematics::Geometric TopologyPhysics::Fluid DynamicsMathematics - Geometric Topology0103 physical sciencesFOS: Mathematics010307 mathematical physicsAffine transformation0101 mathematics[MATH]Mathematics [math]Mathematics - Dynamical SystemsMathematics::Symplectic GeometryMathematics
researchProduct

"Table 4" of "Probing the quantum interference between singly and doubly resonant top-quark production in $pp$ collisions at $\sqrt{s}=13$ TeV with t…

2019

The systematic uncertainty on the unfolded distribution as a function of minimax-mbl, broken down by components.

Quantitative Biology::BiomoleculesStatistics::TheoryMathematics::Algebraic Geometry13000.0Proton-Proton ScatteringCross SectionSIGMathematics::Geometric TopologyComputer Science::DatabasesP P --&gt; W W b b
researchProduct

A Monte Carlo Study of Knots in Long Double-Stranded DNA Chains.

2016

We determine knotting probabilities and typical sizes of knots in double-stranded DNA for chains of up to half a million base pairs with computer simulations of a coarse-grained bead-stick model: Single trefoil knots and composite knots which include at least one trefoil as a prime factor are shown to be common in DNA chains exceeding 250,000 base pairs, assuming physiologically relevant salt conditions. The analysis is motivated by the emergence of DNA nanopore sequencing technology, as knots are a potential cause of erroneous nucleotide reads in nanopore sequencing devices and may severely limit read lengths in the foreseeable future. Even though our coarse-grained model is only based on …

Quantitative Biology::Biomoleculessurgical procedures operativestomatognathic systemlcsh:Biology (General)530 Physicsfood and beverages530 PhysikMathematics::Geometric Topologylcsh:QH301-705.5PLoS Computational Biology
researchProduct

Comment on “Indications of aT=0Quantum Phase Transition inSrTiO3”

1998

A Comment on the Letter by Daniel E. Grupp and Allen M. Goldman, Phys. Rev. Lett. 78, 3511 (1997). The authors of the Letter offer a Reply.

Quantum phase transitionPhysicsQuantum mechanicsQuantum critical pointMathematics::General TopologyGeneral Physics and AstronomyMathematics::Geometric TopologyPhysics::History of PhysicsPhysical Review Letters
researchProduct

On the rigidity theorem for elliptic genera

2018

We give a detailed proof of the rigidity theorem for elliptic gen- era. Using the Lefschetz fixed point formula we carefully analyze the relation between the characteristic power series defining the elliptic genera and the equivariant elliptic genera. We show that equivariant elliptic genera converge to Jacobi functions which are holomorphic. This implies the rigidity of elliptic genera. Our approach can be easily modified to give a proof of the rigidity theorem for the elliptic genera of level N.

Quarter periodPure mathematicsApplied MathematicsGeneral MathematicsMathematical analysisElliptic functionHolomorphic functionMathematics::Geometric TopologyMathematics::Algebraic TopologySupersingular elliptic curveJacobi elliptic functionsHigh Energy Physics::TheoryMathematics::Algebraic GeometryModular elliptic curveElliptic integralSchoof's algorithmMathematics::Symplectic GeometryMathematicsTransactions of the American Mathematical Society
researchProduct

"Table 22" of "Freeze-out radii extracted from three-pion cumulants in pp, p-Pb and Pb-Pb collisions at the LHC"

2014

Exponential radii scaled down by sqrt(pi) and intercept parameters in PbPb collisions versus Nch at low KT3.

R lambdaInclusiveMathematics::Algebraic Geometry2760.0Physics::Instrumentation and DetectorsPB PB --&gt; PI+ XNuclear ExperimentPB PB --&gt; PI- XMathematics::Geometric TopologyComputer Science::Databases
researchProduct

"Table 25" of "Freeze-out radii extracted from three-pion cumulants in pp, p-Pb and Pb-Pb collisions at the LHC"

2014

Exponential radii scaled down by sqrt(pi) and intercept parameters in PbPb collisions versus Nch at high KT3.

R lambdaInclusiveMathematics::Algebraic Geometry2760.0Physics::Instrumentation and DetectorsPB PB --&gt; PI+ XNuclear ExperimentPB PB --&gt; PI- XMathematics::Geometric TopologyComputer Science::Databases
researchProduct