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In this work we consider topology optimization of systems, which are governed by the external Bernoulli free boundary problem. We utilize the so-called pseudo-solid approach to solve the governing f...
A weak and a strong concept of plurifinely plurisubharmonic and plurifinely holomorphic functions are introduced. Strong will imply weak. The weak concept is studied further. A function f is weakly pl...
We shall use symmetry breaking as a tool to attack the problem of identifying the topology of chaotic scatteruing with more then two degrees of freedom. specifically we discuss the structure of the ho...
Lagrangian Topology and Enumerative Geometry     Lagrangian Topology    Enumerative Geometry       font style='font-size:12px;'> 2010/11/15
We use the "pearl" machinery in our previous work to study certain enumerative invariants associated to monotone Lagrangian submanifolds.
Measuring Shape with Topology     Measuring Shape  Topology  math       font style='font-size:12px;'> 2010/11/15
We propose a measure of shape which is appropriate for the study of a complicated geometric structure, defined using the topology of neighborhoods of the structure. One aspect of this measure gives a...
Higher Whitehead products in toric topology     Higher Whitehead products in toric topology  math       font style='font-size:12px;'> 2010/11/15
In this paper we study the relationship between the moment-angle complex Z_k and the Davis-Januskiewicz space DJ(K) for a class of complexes K named missing-face complexes. If K has n vertices we con...
Data recorded by the D0 experiment at the Fermilab Tevatron Collider are analyzed to search for neutral Higgs bosons produced in association with b quarks.
Magnetic Topology of Coronal Hole Linkages     magnetic topology—Sun  corona—Sun  solar wind—Sun  NASA/GSFC       font style='font-size:12px;'> 2010/11/9
In recent work, Antiochos and coworkers argued that the boundary between the open and closed field regions on the Sun can be extremely complex with narrow corridors of open flux connecting seemingly d...
Topology and subsets - the story of a theorem     Topology   subsets - the story of a theorem       font style='font-size:12px;'> 2010/11/11
In this exposition the space of at most 3-element subsets of the circle, first identified by Borsuk and Bott, is used as a motivation to introduce the readers to a variety of methods in (algebraic) to...
We present and interpret observations of two morphologically homologous flares that occurred in active region (AR) NOAA 10501 on 20 November 2003. Both flares displayed four homologous H ribbons and ...
We used angle resolved photoemission spectroscopy and thermoelectric power to study the poorly explored, highly overdoped side of the phase diagram of Ba(Fe1􀀀xCox)2As2 high temperature su- ...
The genus of the iso-density contours is a robust measure of the topology of large-scale structure, and relatively insensitive to galaxies biasing and redshift-space distortions. We show that the grow...
The topology of a simple Lie group is essentially unique      topology  simple Lie group  essentially unique        font style='font-size:12px;'> 2010/12/14
We study locally compact group topologies on simple Lie groups. We show that the Lie group topology on such a group S is very rigid: every ’abstract’ isomorphism between S and a locally compact and -...
Chiral differential operators and topology      Chiral differential operators  topology        font style='font-size:12px;'> 2010/12/14
The first part of this paper provides a new formulation of chiral differential operators (CDOs) in terms of global geometric quantities. The main result is a recipe to define essentially all sheaves o...
For each k > 0 we find an explicit function fk such that the topology of S inside the ball BS(p, r) is ‘bounded’ by fk(r) for every complete Riemannian surface (compact or noncompact) S with K  W...

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