We use monoidal category methods to study the noncommutative geometry of nonassociative algebras obtained by a Drinfeld-type cochain twist. These are the so-called quasialgebras and include the octonions as braided-commutative but nonassociative coordinate rings, as well as quasialgebra versions Cq(G) of the standard q-deformation quantum groups. We introduce the notion of ribbon algebras in th...

This paper presents a computational model which estimates the postsynaptic conductance change of mammalian Type I afferent peripheral process when airborne acoustic waves impact on the tympanic membrane. A model of the human auditory periphery is used to estimate the inner hair cell potential change in response to airborne sound. A generic and tunable topology of the mammalian synaptic ribbon i...

A graphene nanoribbon with zigzag edges has a gapped magnetic ground state with an antiferromagnetic interedge superexchange interaction. We present a theory based on asymptotic properties of the Dirac-model ribbon wave function which predicts W-2 and W-1 ribbon-width dependencies for the superexchange interaction strength and the charge gap, respectively. We find that, unlike the case of conve...

A repetitive crystal-like pattern is spontaneously formed upon the twisting of straight ribbons. The pattern is akin to a tessellation with isosceles triangles, and it can easily be demonstrated with ribbons cut from an overhead transparency. We give a general description of developable ribbons using a ruled procedure where ribbons are uniquely described by two generating functions. This constr...

Submitted for the MAR10 Meeting of The American Physical Society Hydrodynamic Interaction of Colloid Suspension in Ribbon Channels1 BINHUA LIN, SERGEY NOVIKOV, STUART A. RICE, University of Chicago — We report the results of an experimental study of hydrodynamic interaction in colloid suspensions that are intermediate between quasi-one-dimensional (q1D) and quasi-two-dimensional (q2D) systems. ...

We study 4-dimensional homology cobordisms without 3-handles, showing that they interact nicely with Thurston geometries, character varieties, and instanton Heegaard Floer homologies. Using these, we derive obstructions to such cobordisms. As one example of these obstructions, generalize other recent results on the behavior knot under ribbon concordances. Finally, provide topological applicatio...