We extend the formality theorem of M. Kontsevich from deformations of the structure sheaf on a manifold to deformations of gerbes.

Orthotics and other types of shoe inserts are primarily designed to reduce injury and improve comfort. The interaction between the plantar surface of the foot and the load-bearing surface contributes to foot and surface deformations and hence to perceived comfort, discomfort or pain. The plantar shapes of 16 participants' feet were captured when standing on three support surfaces that had diffe...

Structures of pand sd-shell nuclei are studied with the deformed-basis antisymmetrized molecular dynamics method using the Gogny D1S and Skyrme SLy7 forces as effective interactions. By the energy variation with a constraint, energy curves as functions of quadrupole deformation parameter β are obtained. The energy curves for sd-shell nuclei show structure change as a function of β, and suggest ...

Terrains have a key role in making outdoor virtual scenes believable and immersive as they form the support for every other natural element in the scene. Although important, terrains are often given limited interactivity in real-time applications. However, in nature, terrains are dynamic and interact with the rest of the environment changing shape on different levels, from tracks left by a pers...

The remarkable regularity of rotational spectra of superdeformed nuclei has prompted many investigations into the contribution of higher multipoles on the formation of shell structure [1]. Related questions have arisen for other mesoscopic systems. In particular, it appears that octupole deformation has the same importance for two-dimensional systems like quantum dots and surface clusters [2] a...

— We explain why the dimension of the deformations of a given generic Fuchsian equation without changing the conjugacy class of its local monodromies (“number of accessory parameters”) is equal to half the dimension of the moduli space of deformations of the associated local system. We do this by constructing a weight 1 Hodge structure on the infinitesimal deformations of integrable connections...

The crystal structure of the paired homeodomain bound to DNA as a cooperative dimer has been determined to 2.0 A resolution. Direct contacts between each homeodomain and the DNA are similar to those described previously. In addition, an extensive network of water molecules mediates contacts between the recognition helix and the DNA major groove. Several symmetrical contacts between the two home...

We describe a deformation of the principal chiral model (with an evendimensional target space G) by a B-field proportional to the Kähler form on the target space. The equations of motion of the deformed model admit a zero-curvature representation. As a simplest example, we consider the case of G = S × S. We also apply a variant of the construction to a deformation of the AdS3 × S × S (super-)σ-...

The main goal of computational anatomy is to compare shapes of organs (e.g. brain, heart and spine) observed from computed tomography (CT) and magnetic resonance (MR) imaging. Statistical analysis of shape differences can be useful to understand disease-related changes of anatomical structures. The key idea is to estimate transformations between a template and patient anatomies. These transform...

A family of qualitative methods is described that determine structure of curves in a scene from their image projections in two or more views. For example, plane curves are distinguished from space curves, and space curves from contour generators. The novelty of the approach is: rst, it is unaaected by camera intrinsic parameters, so calibration is not required; second, is it also unaaected by c...