Piecewise ${\rm SL}\sb 2{\bf Z}$ geometry

SLSB: Improving the Steganographic Algorithm LSB

This paper presents a novel steganographic algorithm based on the spatial domain: Selected Least Significant Bits (SLSB). It works with the least significant bits of one of the pixel color components in the image and changes them according to the message’s bits to hide. The rest of bits in the pixel color component selected are also changed in order get the nearest color to the original one in ...

Geometry & Topology Monographs Z 2 {systolic-freedom

We give the rst example of systolic freedom over torsion coefcients. The phenomenon is a bit unexpected (contrary to a conjecture of Gromov’s) and more delicate than systolic freedom over the integers. Dedicated to Rob Kirby, a lover of Mathematics and other wild places. Thank you for your inspiration. AMS Classi cation 53C22

Topology, Geometry, and Mechanics of Z-Plasty.

Reconstructive surgeries often use topological manipulation of tissue to minimize postoperative scarring. The most common version of this, Z-plasty, involves modifying a straight line cut into a Z shape, followed by a rotational transposition of the resulting triangular pedicle flaps, and a final restitching of the wound. This locally reorients the anisotropic stress field and reduces the poten...

Piecewise Polynomial Functions, Convex Polytopes and Enumerative Geometry

0. Introduction. This paper explores some of the connections between the objects of its title. It is based on a new approach to McMullen’s polytope algebra, and on its relation with equivariant cohomology of toric varieties. In particular, we give another proof of a recent result of Fulton and Sturmfels, which identifies the polytope algebra with the direct limit of all Chow rings of smooth, co...

Topological superconductor in quasi-one-dimensional ${\rm Tl}_{2-x}{\rm Mo}_6{\rm Se}_6$