We introduce a precise notion, in terms of some Schlessinger’s type conditions, of extended deformation functors which is compatible with most of recent ideas in the Derived Deformation Theory (DDT) program and with geometric examples. With this notion we develop the (extended) analogue of Schlessinger and obstruction theories. The inverse mapping theorem holds for natural transformations of ex...

We present an analytic study of the phase diagram of the one-dimensional t − J model and a couple of its cousins. To deal with the interactions induced by the no double occupancy constraints, we introduce a deformation of the Hubbard operators. When the deformation parameter ∆ is small, the induced interactions are softened, accessible by perturbation theory. We combine bososnization with renor...

Western Fortuna Tessera, Ishtar Terra, records polyphase deformation. Structures include: ribbons forming long, narrow, steep-sided troughs that reflect surface layer extension; N-trending folds related to Maxwell Montes deformation; short, wide, NW-trending graben that reflect late local extension; and, within the southwestern map area, gentle, E-trending warps, which postdate ribbon structure...

Introduction The use of image registration techniques to investigate shape differences in mouse brain MRIs have become a significant area of interest [1-3]. The ability of these techniques to bring brains into alignment have been well documented [4,5], however, it is unknown how accurately structural changes between groups can be detected or whether this sensitivity varies with brain geography ...

A covariant formalism for Moyal deformations of gauge theory and differential equations which determine Seiberg-Witten maps is presented. Replacing the ordinary product of functions by the noncommutative Moyal product, noncommutative versions of integrable models can be constructed. We explore how a Seiberg-Witten map acts in such a framework. As a specific example, we consider a noncommutative...

The aim of this work was to create digitally phase-shift images avoiding the mechanical adjustments of the PZT, testing them with the digital shearography method. It was tested using a well-known object, a cantilever beam of aluminium under deformation, and a tooth. The results presented the ability to create the deformation map and curves with reliability and sensitivity, reducing the cost, an...

between the K-theory of locally free modules on the non-commutative infinitesimal site and hypercohomology K-theory of free modules. These K-theory results are obtained as a very particular case of a general construction. The input of this construction consists of a category C equipped with a suitable notion of infinitesimal deformation, (e.g. C=rings, deformation=surjection with nilpotent kern...

The detection and quantification of surface deformation of an active rock glacier using the differential SAR interferometry technique is presented. An average deformation rate of 6 mm/35 days in the radar line-of-sight in the summer of 1992 was estimated. The maximum deformation rate was located at the upper part of the rock glacier and amounts to 18 mm/35 days. In contrast, at the snout of the...

Underground coal mining often causes persistent land subsidence, which would lead to huge threats to infrastructure and safety in the coal area [1, 2]. Traditional levelling and GPS methods are able to produce reliable measurement of ground subsidence [3]. However, these field surveys are time-consuming and cannot provide deformation map with high spatial sampling density. Synthetic aperture ra...

I construct a map from the Grothendieck group of coherent sheaves to Khomology. This results in explicit realizations of K-homology cycles associated with D-brane configurations. Non-Abelian degrees of freedom arise in this framework from the deformation quantization of N -tuple cycles. The large N limit of the gauge theory on D-branes wrapped on a subvariety V of some variety X is geometricall...