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We study the behavior of the Yang-Mills flow for unitary connections on compact and non-compact oriented surfaces with varying metrics. The flow can be used to define a one dimensional foliation on th...
ANALYTIC CYCLES,BOTT-CHERN FORMS,AND SINGULAR SETS FOR THE YANG-MILLS FLOW ON KAHLER MANIFOLDS
BOTT-CHERN FORMS SINGULAR SETS YANG-MILLS FLOW KAHLER MANIFOLDS
2015/12/17
It is shown that the singular set for the Yang-Mills flow on unstable holomorphic vector bundles over compact K¨ahler manifolds is completely determined by the Harder-NarasimhanSeshadri filtration of ...
On the blow-up set of the Yang–Mills flow on Kahler surfaces
blow-up set Yang–Mills flow Kahler surfaces
2015/12/17
The Yang–Mills flow on a Kahler surface with holomorphic initial data converges smoothly away from a singular set determined by the Harder–Narasimhan–Seshadri filtration of the initial holomorphic bun...
The Revitalization of New England's Small Town Mills: Breathing New Life into Old Places
New England Small Town Mills Breathing New Life Old Places
2014/12/10
This paper describes and analyzes the recent experience of communities in the six New England states concerning the revitalization of their 19th century mills and mill yards. It begins with an examina...
The Economic Vitality of the Blackstone Valley Mills: A Snapshot at a Moment in Time
Economic Vitality Blackstone Valley Mills Snapshot at a Moment in Time
2014/12/10
The Economic Resilience of the Blackstone Valley Mills Illustrates the Viability of a Flexible-use Business Strategy for New England's Mills and Mill Complexes.
Development of the Assabet Mills in 19th Century Maynard
History Textile Water power Villages Cities and towns
2014/12/1
Historians who focus on the development of nineteenth century New England textile mills generally place them in either of two categories. The first, referred to as the Rhode Island system, tended to b...
The Revitalization of New England's Small Town Mills: Breathing New Life into Old Places
England Experience Compound factors
2014/11/28
This paper describes and analyzes the recent experience of communities in the six New England states concerning the revitalization of their 19th century mills and mill yards. It begins with an examina...
The Economic Vitality of the Blackstone Valley Mills: A Snapshot at a Moment in Time
Blackstone. Economic resilience valley Factories England Factory complexes
2014/11/28
The Economic Resilience of the Blackstone Valley Mills Illustrates the Viability of a Flexible-use Business Strategy for New England's Mills and Mill Complexes
Along the Chicopee River from the Mills to the Ludlow Bridge - Creating a Vision for Indian Orchard
Chicopee River Ludlow Bridge Indian Orchard
2014/11/19
The report documents design investigations for Springfield’s Indian Orchard neighborhood. The Graduate Urban Design Studio focused on the exciting area along the Chicopee River from the Indian Orchard...
Spontaneously Broken Erlangen Program Offers a Bridge Between the Einstein and the Yang-Mills Theories
gravitation Erlangen Program Yang-Mills Einstein
2012/5/31
We shall give dynamics to our spacetime manifold by first identifying the local affine symmetry as the characterizing symmetry for our geometry \'a la Felix Klein, and then by prescribing 16 gauge vec...
Yang-Mills connections of cohomogeneity one on SO(n)-bundles over Euclidean spheres
Yang-Mills connections of cohomogeneity one SO(n)-bundles Euclidean spheres Differential Geometry
2011/9/23
Abstract: We construct Yang-Mills connections on SO(n)-bundles over spheres equipped with the Euclidean metric. We use a cohomogeneity one group action on the bundle to reduce the Yang-Mills-equation ...
Calabi-Yau Manifolds, Hermitian Yang-Mills Instantons and Mirror Symmetry
Calabi-Yau manifold Hermitian Yang-Mills instanton Mirror symmetry
2011/9/30
Abstract: We formulate six-dimensional Euclidean gravity as SU(4)=SO(6) Yang-Mills gauge theory. For that purpose we devise a six-dimensional version of the 't Hooft symbols which realizes the isomorp...
One-loop Renormalized Coefficient of Noncommutative Supersymmetric Yang-Mills-Chern-Simons Gauge Theories in Three Dimensions
One-loop Renormalized Coefficient Noncommutative Supersymmetric Yang-Mills-Chern-Simons Gauge Theories
2011/7/28
Abstract: Recent studies of the $AdS_4/CFT_3$ correspondence involve the construction of a peculiar supersymmetric gauge theory on the worldvolume of multiple M2s branes as a boundary field theory. Un...