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Distant EKO's .... Today's News - Astronomy News ....

Violent Star Formation : From 30 Doradus to QSOs by G. Tenorio-Tagle

QSO Hosts and their Environments
by Isabel Márquez (Editor), et al
(Hardcover - December 1, 2001)

Observations of the starlike objects 3C 273, 3C 279, 3C 345
and of Sco X-1 with a scanning dual-beam polarimeter
(Bulletin / Lowell Observatory) by Aina Elvius (Author)

Contemporaneous IUE, EUVE, and high-energy observations of 3C 273
(SuDoc NAS 1.26:207861) by NASA

Chandra reveals a double-sided X-ray jet in the quasar 3C9 at z=2.012

Transfers, and Motivic Homology Theories 
by Vladimir Voevodsky, Andrei Suslin, and Eric M. Friedlander,  
Annals of Mathematics Studies, No. 143,
Princeton University Press, NJ, 254 pages, 
ISBN 0-691-04815-0

When thinking about this book, three questions come to mind: 
What are motives? What is motivic cohomology? 
How does this book fit into these frameworks?

Let me begin with a very brief answer to these questions. 
The theory of motives is a branch of algebraic geometry 
dealing with algebraic varieties over a fixed field,
k. The basic idea is simple:  
enlarge the category of varieties into
one which is abelian, meaning that it  
resembles the category of abelian groups: 
we should be able to add morphisms, take  
kernels and cokernels of maps, etc. The
objects in this enlarged category are to be  
called motives, whence the notion of the
motive associated to an algebraic variety.  
Any reasonable cohomology theory on  
varieties should factor through this category of motives. 
Even better, the abelian nature of motives 
allows us to do homological algebra. 
In particular, we can use extension groups 
to form a universal cohomology 
theory for varieties. Not only does this  
motivate our interest in motives, but the
universal property also gives rise to the  
play on words "motivic cohomology".
Different ways of thinking about varieties  
leads to different classes of motives
and different aspects of the theory. And  
each aspect of the theory quickly leads us
into conjectural territory.
The best understood part of the theory is  
the abelian category of pure motives.
This is what we get by restricting our  
attention to smooth projective varieties,
identifying numerically equivalent maps and  
taking coefficients in the rational numbers
Q. The pure motives of smooth projective  
varieties are the analogues of semisimple
modules over a finite-dimensional Q-algebra.  
The theory of pure motives is related
to many deep unsolved problems in algebraic  
geometry, via what are known as the
standard conjectures.

At the other extreme, we have the most  
general part of the theory of motives,
obtained by considering all varieties and  
taking coefficients in the integers Z...
 K-Theory Collection 


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The Dirac Operator on Nilmanifolds and Collapsing Circle Bundles.

Gauge theories on manifolds with boundary

Harmonic Spinors for Twisted Dirac Operators

On nodal sets for Dirac and Laplace operators

An introduction to n-categories.

Diffeomorphism-invariant generalized measures on the space of connections modulo gauge transformations.

Higher-dimensional algebra II: 2-Hilbert spaces

Higher-dimensional algebra III: n-Categories and the algebra of opetopes


Bringing Up Quantum Baby

Seiberg-Witten Theory and Z/2^p actions on spin 4-manifolds


The eta-form and a generalized Maslov index

On the Scalar Curvature of Einstein Manifolds

Some applications of differential topology in general relativity

Gravity coupled with matter and foundation of non-commutative geometry

Aspherical gravitational monopoles

Eta-Invariants and Determinant Lines

Smoothing Riemannian Metrics with Ricci Curvature Bounds

Eigenvalues of the Weyl operator as observables of general relativity

Spectral invariants for the Dirac equation on d-Ball with various boundary conditions

Determinants of Dirac operators with local boundary conditions

Dirac Operator and Eigenvalues in Riemannian Geometry

Quantization of Field Theories in the Presence of Boundaries

Asymptotic Heat Kernels in Quantum Field Theory

Grassmannian and elliptic operators

Two nontrivial index theorems in odd dimensions

Determinant Line Bundles Revisited

Characteristic Numbers and Generalized Path Integrals

Super Toeplitz operators on line bundles

Canonical heights, invariant currents, and dynamical systems of morphisms associated with line bundles

Principal G-bundles over elliptic curves

Metric perturbations in two-field inflation

Isospectral deformations of closed Riemannian manifolds with different scalar curvature

Yamabe Invariants and Spin^c Structures

Intersection numbers on moduli spaces and symmetries of a Verlinde formula

Rozansky-Witten invariants via formal geometry

Eigenvalue Estimates for the Dirac Operator on Quaternionic Kaehler Manifolds

Quaternionic Killing Spinors

Gravity from Dirac Eigenvalues

On index formulas for manifolds with metric horns.

Kodaira Dimension and the Yamabe Problem

An Introduction to Noncommutative Spaces and their Geometry

Duality Symmetries and Noncommutative Geometry of String Spacetime

A-hat Genus and Collapsing

Gluing and moduli for noncompact geometric problems

Moduli Spaces of Singular Yamabe Metrics

Constant scalar curvature metrics with isolated singularities

Gluing and moduli for noncompact geometric problems

Moduli spaces of flat connections on 2-manifolds, cobordism, and Witten's volume formulas

Homology of pseudodifferential operators I. Manifolds with boundary

The Positive Fundamental Group of Sp(2) and Sp(4)

Almost Diameter Rigidity for the Cayley Plane

Fundamental Group of Self-Dual Four-Manifolds with Positive Scalar Curvature

Yamabe Spectra

A ``stable'' version of the Gromov-Lawson conjecture

Nonlocal invariants in index theory

On analytical applications of stable homotopy (the Arnold conjecture, critical points)

Equivariant configuration spaces

Background Geometry in Gauge Gravitation Theory

General Analytic Formula for the Spectral Index of the Density Perturbations produced during Inflation

On the geometry and topology of manifolds of positive bi-Ricci curvature

Ricci curvature, minimal surfaces and sphere theorems

Continuous families of isospectral metrics on simply connected manifolds

2d quantum dilaton gravity as/versus finite dimensional quantum mechanical systems

Global Anomalies in Canonical Gravity

Euclidean Supergravity in Terms of Dirac Eigenvalues

Vassiliev Invariants for Links in Handlebodie

The Radius Rigidity Theorem for Manifolds of Positive Curvature


Shubnikov-de Haas effect and Yamaji oscillations
in the antiferromagnetically ordered organic superconductor k-(BETS)2FeBr4

Inhomogeneous electronic structure probed by spin-echo experiments
in the electron doped high-Tc superconductor Pr_{1.85}Ce_{0.15}CuO_{4-y}

Imaging phase separation near the Mott boundary

in the correlated organic superconductors $\kappa$-(BEDT-TTF)$_{2}$X

Dependent Magnetoresistance of the Layered Organic Superconductor
  • \kappa-(ET)2Cu(NCS)2: Simulation and Experiment

    Constraints on Microscopic Theories of Superconductivity in Layered Organic Superconductors

  • from Measurements of the London Penetration Depth

    Title: Impurity Effect on the In-plane Penetration Depth of the Organic Superconductors $\kappa$-(BEDT-TTF)$_2X$ ($X$ = Cu(NCS)$_2$ and Cu[N(CN)$_2$]Br)

    Effect of an in-plane magnetic field on the interlayer phase coherence
  • in the extreme-2D organic superconductor k-(BEDT-TTF)2Cu(NCS)2

    ChemNet Search Engine

    Post Gaussian effective potential in the Ginzburg Landau theory of superconductivity

    Gauge Fluctuations in Superconducting Films

    Large-N transition temperature for superconducting films in a magnetic field

    SO(5) as a Critical Dynamical Symmetry in the SU(4) Model of High-Temperature Superconductivity

    Physics' Greatest Puzzles 'Millennium Madness'

    Dr. David Gross, a theoretical physicist at UCSB

    #1. Are all the (measurable) dimensionless parameters that characterize the

    physical Universe, calculable in principle, or are some merely determined by

    historical or quantum mechanical accident and uncalculable?

    #2. How can quantum gravity help explain the origin of the Universe?

    #3. What is the lifetime of the proton and how do we understand it?

    #4. Is Nature supersymmetric, and if so, how is supersymmetry broken?

    #5. Why does the Universe appear to have one time and three space dimensions?

    #6. Why does the cosmological constant have the value that it has?

    Is it zero and is it really constant?

    #7. What are the fundamental degrees of freedom of M Theory (the theory whose

    low-energy limit is eleven-dimensional supergravity and that subsumes the

    five consistent superstring theories) and does the theory describe nature?

    #8. What is the resolution of the black hole information paradox?

    #9. What physics explains the enormous disparity between the gravitational scale

    and the typical mass scale of the elementary particles?

    #10. Can we quantitatively understand quark and gluon confinement in quantum

    chromodynamics and the existence of a mass gap?

    StarLab Sequence 


    Live Webcam United Space Alliance Projects: View ISR Space Elevator Animation Ion Propulsion

    Russian and Language Translators Extinction 

Shift Principle new M45 

articles and Mathematician of the DaySpace Elevator Reviews Physics Frontiers

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