TITLE

Intersection homology theory via rectifiable currents

AUTHOR(S)
Qinglan Xia
PUB. DATE
April 2004
SOURCE
Calculus of Variations & Partial Differential Equations;Apr2004, Vol. 19 Issue 4, p421
SOURCE TYPE
Academic Journal
DOC. TYPE
Article
ABSTRACT
Here is given a rectifiable currents? version of intersection homology theory on stratified subanalytic pseudomanifolds. This new version enables one to study some variational problems on stratified subanalytic pseudomanifolds. We first achieve an isomorphism between this rectifiable currents? version and the version using subanalytic chains. Then we define a suitably modified mass on the complex of rectifiable currents to ensure that each sequence of subanalytic chains with bounded modified mass has a convegent subsequence and the limit rectifiable current still satisfies the perversity condition of the approximating chains. The associated mass minimizers turn out to be almost minimal currents and this fact leads to some regularity results.
ACCESSION #
12349760

 

Related Articles

  • Coherent orientation of mixed moduli spaces in Morse-Floer theory. Katic, Jelena; Milinkovic, Darko // Bulletin of the Brazilian Mathematical Society;Jun2009, Vol. 40 Issue 2, p253 

    We give the coherent orientation for the spaces of intersections of gradient trajectories and holomorphic disks in cotangent bundle. This construction provides the Piunikhin-Salamon-Schwarz isomorphism between Morse homology and Floer homology for Lagrangian intersections in cotangent bundles,...

  • RATIONAL GENERALIZED INTERSECTION HOMOLOGY THEORIES. Markus Banagl // Homology, Homotopy & Applications;2010, Vol. 12 Issue 1, p157 

    Given a spectrum E, we investigate the theory that associates to a stratified pseudomanifold the tensor product of its Goresky-MacPherson intersection homology with the rationalized coefficients of E. The viewpoint adopted in this paper is to express this theory as the homotopy groups of a...

  • THE HARDY INEQUALITY WITH ONE NEGATIVE PARAMETER. Kufner, A.; Kuliev, K.; Kulieva, G. // Banach Journal of Mathematical Analysis;2008, Vol. 2 Issue 2, p76 

    In this paper, necessary and sufficient conditions for the validity of the Hardy inequality for the case q < 0, p > 0 and for the case q > 0, p < 0 are derived.

  • THREE-PARAMETER WEIGHTED HARDY TYPE INEQUALITIES. Oinarov, R.; Kalybay, A. // Banach Journal of Mathematical Analysis;2008, Vol. 2 Issue 2, p85 

    For 0 < r < ∞ and 1 ≤ p ≤ q < ∞ we find necessary and sufficient conditions for the validity of the following inequality: (Multiple line equation(s) cannot be represented in ASCII text) where u(·), v(·), and w(·) are weight functions.

  • Topological and analytical properties of Sobolev bundles, I: The critical case. Isobe, Takeshi // Annals of Global Analysis & Geometry;May2009, Vol. 35 Issue 3, p277 

    We study the interrelationship between topological and analytical properties of Sobolev bundles and describe some of their applications to variational problems on principal bundles. We in particular show that the category of Sobolev principal G-bundles of class W2, m/2 defined over M m is...

  • On Effective Solvability Conditions for Variational Problems. Azbelev, N. V.; Bravyi, E. I.; Gusarenko, S. A. // Differential Equations;Feb2004, Vol. 40 Issue 2, p151 

    Presents effective solvability conditions for variational problems. Banach space; Isomorphism; Linear bounded operators; Boundary value problems.

  • Bias-voltage- and bias-light-dependent high photocurrent gains in amorphous silicon Schottky barriers. Rubinelli, F. A.; Hou, J. Y.; Fonash, S. J. // Journal of Applied Physics;3/1/1993, Vol. 73 Issue 5, p2548 

    Presents a study which demonstrated that large, long-wavelength photocurrent gains are attainable in forward-biased Schottky barrier structures fabricated using hydrogenated amorphous silicon (a-Si:H). Methodology; Results of the study; Conclusions.

  • Peculiarities of time dependence of the current–current correlation function. Lokotosh, T. V.; Malomuzh, N. P.; Shakun, K. S. // Journal of Chemical Physics;6/15/2003, Vol. 118 Issue 23, p10382 

    The similarity and difference in the behavior of the current–current correlation function (CCCF) and the velocity correlation function of a molecule are discussed in detail. It is shown that the oscillations and long-time decay of the transversal and longitudinal components of CCCF are...

  • Interaction of a Coastal Current with a Gulf: Application to the Shelf Circulation of the Gulf of Lions in the Mediterranean Sea. Echevin, Vincent; Crepon, Michel; Mortier, Laurent // Journal of Physical Oceanography;Jan2003, Vol. 33 Issue 1, p188 

    The interaction of a coastal current with a shallow shelf is studied using analytical model and numerical simulations. First, the wave propagations along a steplike bottom topography in a two-layer fluid are investigated. The authors focus on the case in which the interface between the two...

Share

Read the Article

Courtesy of VIRGINIA BEACH PUBLIC LIBRARY AND SYSTEM

Sorry, but this item is not currently available from your library.

Try another library?
Sign out of this library

Other Topics