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20022008
most citedCocycle Knot Invariants from Quandle Modules and Generalized Quandle Cohomology

9 citations

22 papers

math.GT2008

Cocycle Deformations of Algebraic Identities and R-matrices

J. Scott Carter, Alissa Crans, Mohamed Elhamdadi +1

For an arbitrary identity L=R between compositions of maps L and R on tensors of vector spaces V, a general construction of a 2-cocycle condition is given. These 2-cocycles corresp…

math.QA20081 cited

Cohomology of Frobenius Algebras and the Yang-Baxter Equation

J. Scott Carter, Alissa S. Crans, Mohamed Elhamdadi +2

A cohomology theory for multiplications and comultiplications of Frobenius algebras is developed in low dimensions in analogy with Hochschild cohomology of bialgebras based on defo…

math.DS20071 cited

On Anosov diffeomorphisms with asymptotically conformal periodic data

Boris Kalinin, Victoria Sadovskaya

We consider transitive Anosov diffeomorphisms for which every periodic orbit has only one positive and one negative Lyapunov exponent. We establish various properties of such syste…

math.GT2007

Nonfibered knots and representation shifts

Daniel S. Silver, Susan G. Williams

The authors conjectured previously that a knot is nonfibered if and only if its infinite cyclic cover has uncountably many finite covers. We prove the conjecture for a class of kno…

physics.acc-ph20074 cited

Muon Acceleration to 750 GeV in the Tevatron Tunnel for a 1.5 TeV mu+ mu- Collider

D. J. Summers, L. M. Cremaldi, R. Godang +3

Muon acceleration from 30 to 750 GeV in 72 orbits using two rings in the 1000m radius Tevatron tunnel is explored. The first ring ramps at 400 Hz and accelerates muons from 30 to 4…

math.QA2007

Cohomology of the adjoint of Hopf algebras

J. Scott Carter, Alissa S. Crans, Mohamed Elhamdadi +1

A cohomology theory of the adjoint of Hopf algebras, via deformations, is presented by means of diagrammatic techniques. Explicit calculations are provided in the cases of group al…