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AFRL-IF-RS-TR-2006-180 Final Technical Report May 2006 ... Sponsored by Defense Advanced Research Projects Agency DARPA Order No. L485 ... The views and conclusions contained in this document are those of the authors and should not be... more
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      AlgorithmsAlgebraic TopologyQuantum Theory
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    •   8  
      Geometric TopologyAlgebraic GeometryCombinatoricsAlgebraic Topology
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    •   4  
      MathematicsApplied MathematicsAlgebraic TopologyNumerical Analysis
Load balancing functionalities are crucial for best Grid performance and utilization. Accordingly,this paper presents a new meta-scheduling method called TunSys. It is inspired from the natural phenomenon of heat propagation and thermal... more
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      Computer ScienceAlgorithmsDistributed ComputingDistributed Database
We develop a Chern-Weil theory for compact Lie group action whose generic stabilizers are finite in the framework of equivariant cohomology. This provides a method of changing an equivariant closed form within its cohomological class to a... more
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    •   8  
      Algebraic TopologyDifferential GeometrySymplectic geometryDegeneration
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    •   3  
      Algebraic TopologyCohomologyCohomology of Topological Groups
We introduce the braid groups in their connection to knot theory and investigate several of their properties. Based on term rewriting systems, which we review, we find new solutions to the word and conjugacy problems in the braid groups.... more
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    •   5  
      MagnetohydrodynamicsCombinatorial OptimizationAlgebraic TopologyKnot Theory
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      MathematicsGeometric TopologyAlgebraic TopologyPiecewise Linear
A metric space is a set of points for which we have a notion of distance which just measures the how far apart two points are. The most important and natural way to apply this notion of distance is to say what we mean by continuous motion... more
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      MathematicsGeometry And TopologyAlgebraic TopologyTopology
FROM THE BACK COVER: What is the essential nature of meaning? . . . . . This book answers by examining interpretive theories from the past and present. It finds that an historical struggle with meaning has been underway since the... more
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    •   347  
      Discourse AnalysisHistory of LinguisticsPhilologyLanguages
Gentil Lopes - ALGEBRA LINEAR (COMENTADO)
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      Algebraic Number TheoryAlgebraAlgebraic GeometryAlgebraic (Symbolic) Computation
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      Algebraic TopologyMatemáticas
Derivation from the Rydberg Equation Using Standard Quantized Angular Momentum as a Postulate - 1836.15267  The Real Deal!  No numerology BS!!!
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      Number TheoryAlgebraic GeometryCalculusArtificial Intelligence
"ABSTRACT: This study assumes the subject's pursuit of meaning is generally incapacitating and should be suspended. It aims to demonstrate how such a suspension is theoretically accomplished by utilizing Lacan's formulae of... more
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      Discourse AnalysisHistory of LinguisticsPhilologyPsychoanalysis
In this thesis, Monte Carlo methods are elaborated in terms of the notion of the performance of games of chance and observing their out- comes based on sampling random numbers and calculating the volume of possible outcomes. The basic... more
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      Set TheoryGeneral TopologyComputational ModellingAlgebraic Topology
Lecture Notes in Algebraic Topology
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    • Algebraic Topology
We prove that the higher Frobenius-Schur indicators, introduced by Ng and Schauenburg, give a strong enough invariant to distinguish between any two Tambara-Yamagami fusion categories. Our proofs are based on computation of the higher... more
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      Algebraic TopologyRepresentation TheoryQuantum Algebra
The intention of this article is to propose a generalization to the Black Hole (BH) model, prioritizing an understanding from graphic intuitions. To promote the model presented here (based on the use of quaternions) I will try to convince... more
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      AnthropologyMetaphysicsCosmology (Anthropology)General Relativity
« Ivor Grattan-Guinness, “Algebras, Projective Geometry, Mathematical Logic, and Constructing the World. Intersections in the Philosophy of Mathematics of A.N. Whitehead”, Historia Mathematica 29, N° 4, 2002, pp. 427-462 », Zentralblatt... more
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      AlgebraAlgebraic GeometryAlgebraic TopologyAlfred North Whitehead
Many active mathematical research topics nowadays include the concepts of valued fields and local fields, especially the local field of p-adic numbers Qp and the field of formal Laurent series F((X)). Local fields are a notion situated in... more
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      Number TheoryAlgebraic TopologyCommutative Algebra
De Rahm Cohomology is a powerful tool which allows one to extract purely topo-logical information about a manifold, essentially by doing algebra on its cotangent bundle. A particularly useful method of computing de Rham cohomology groups... more
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      Homological AlgebraAlgebraic TopologyDifferential Geometry
Introduction to a Special Issue of Homology, Homotopy and Applications (Tbilisi Mathematical Journal) 10-3 (2017) in hoor of Peter Freyd and F. William Lawvere on the ocassion of their 80th birthdays
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      AlgebraDifferential TopologyLogic And Foundations Of MathematicsGeneral Topology
This talk was given at the Toronto Psychoanalytic Society on July 13, 2014.
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      Discourse AnalysisPsychoanalysisMathematicsApplied Mathematics
This is a dramatisation of the tragedy of the mathematician Alexandre Grothendieck. It embroiders---around some of the known facts about Grothendieck's life, and the life of his parents---a speculative portrait of the man and his relation... more
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      MathematicsAlgebraic GeometryHistory of MathematicsAlgebraic Topology
The Gelfand - Na\u{i}mark theorem supplies the one to one correspondence between commutative $C^*$-algebras and locally compact Hausdorff spaces. So any noncommutative $C^*$-algebra can be regarded as a generalization of a topological... more
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    •   3  
      Operator AlgebrasAlgebraic TopologyNoncommutative Geometry
A Concise Course in Algebraic Topology
[J. P. May]
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    • Algebraic Topology
This paper initiates the incorporation of factorization algebra techniques to study motivic homotopy theory. We define a version of the Ran space of an algebraic variety and prove that it is contractible in the unstable motivic homotopy... more
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      Algebraic GeometryAlgebraic TopologyMotivic Homotopy Thery
An international book series  on Mathematical Combinatorics edited by Dr.Linfan Mao
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      AlgebraGraph TheoryAlgebraic TopologyDifferential Geometry
The aim of this article is to explain a philosophy for applying higher dimensional Seifert-van Kampen Theorems, and how the use of groupoids and strict higher groupoids resolves some foundational anomalies in algebraic topology at the... more
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      Homotopy TheoryAlgebraic Topologyhigher groupoids
The aim of this thesis is to consider how far results from the theory of surfaces can be extended to theorems concerning surface fibrations. The researched was initially motivated by an attempt to generalise the Baer- Nielsen theorem on... more
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      Algebraic TopologyCohomologyFuchsian groupMathematics, Four-Dimensional Geometry, Quaternions
We survey the cohomology jumping loci and the Alexander-type invariants associated to a space, or to its fundamental group. Though most of the material is expository, we provide new examples and applications, which in turn raise several... more
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      Geometry And TopologyGeometric TopologyAlgebraic GeometryAlgebraic Topology
The cohomology jump loci of a space are of several types: the characteristic varieties, defined in terms of homology with coefficients in rank one local systems; the resonance varieties, constructed from information encoded in the... more
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      Algebraic GeometryAlgebraic TopologyCohomology
Neste trabalho de dissertação é tratado algumas equivalências do número de Milnor.

In this work of dissertation is treated some equivalences of the number of Milnor.
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      Geometry And TopologyAlgebraic TopologyTopology
Autor: Munkres James

Este libro puede servir como un texto para un curso de introducción a la Topologia
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      Algebraic TopologyTopologyTopologia
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    • Algebraic Topology
""The symmetric homology of a unital algebra $A$ over a commutative ground ring $k$ is defined using derived functors and the symmetric bar construction of Fiedorowicz. For a group ring $A = k[\Gamma]$, the symmetric homology is... more
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      Algebraic TopologyFunctor Homology
We introduce a new algebraic concept of an algebra which is "almost" commutative (more precisely "quasi-commutative differential graded algebra" or ADGQ, in French). We associate to any simplicial set X an ADGQ -... more
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    •   5  
      Algebraic TopologyTensor product semigroupsHochschild HomologyDifferential Calculus
These research notes are motivated by a desire to understand previous work that can contribute to an analytical approach to defining and optimising quality in enterprise reference models. Most of these notes cover a literature review done... more
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      MathematicsAlgebraGeometry And TopologyOntology
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      AlgebraHomological AlgebraAlgebraic GeometryAlgebraic Topology
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      Computer VisionPattern RecognitionAlgebraic TopologyFeature Extraction
Have you ever questioned why do we almost always use vector calculus and differential equations in electromagnetics? Are these the only tools at our disposal for studying and modelling electromagnetic problems? Well, the answer is no and... more
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      Algebraic TopologyComputational ElectromagneticsNumerical ModellingElectromagnetics
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      Algebraic TopologyGroup TheoryTopologyPure Mathematics
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    • Algebraic Topology
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      Number TheoryHomotopy TheoryAlgebraic TopologyRepresentation Theory
In this master thesis we compute the $K_2$-homology of $B^3\Z=K(\Z,3)$ following Ravenel-Wilson, and exhibit all ring spectrum maps from $\Sigma^\infty B^3\Z_+$ to $K_2$. We define the complex oriented theory $K_n$ as a quotient of... more
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    • Algebraic Topology
The characteristic varieties of a space are the jump loci for homology of rank 1 local systems. The way in which the geometry of these varieties may vary with the characteristic of the ground field is reflected in the homology of finite... more
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      Algebraic GeometryAlgebraic TopologyGroup TheorySingularity Theory
We generalize basic results relating the associated graded Lie algebra and the holonomy Lie algebra of a group, from finitely presented, commutator-relators groups to arbitrary finitely presented groups. Using the notion of " echelon... more
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      Geometric TopologyAlgebraic TopologyGroup Theory
There are several topological spaces associated to a complex hyperplane arrangement: the complement and its boundary manifold, as well as the Milnor fiber and its own boundary. All these spaces are related in various ways, primarily by a... more
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      Geometric TopologyAlgebraic GeometryCombinatoricsAlgebraic Topology
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      Homotopy TheoryAlgebraic TopologyPure MathematicsQuantum Algebra