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9 papers · 1 filter
A Frictional Cooling Demonstration Experiment with Protons
R. Galea, A. Caldwell, L. Newburgh
Muon cooling is the main technological obstacle in the building of a muon collider. A muon cooling scheme based on Frictional Cooling holds promise in overcoming this obstacle. An…
Stabilization in the braid groups II: Transversal simplicity of knots
Joan S Birman, William W Menasco
The main result of this paper is a negative answer to the question: are all transversal knot types transversally simple? An explicit infinite family of examples is given of closed…
Stabilization in the braid groups I: MTWS
Joan S Birman, William W Menasco
Choose any oriented link type X and closed braid representatives X[+], X[-] of X, where X[-] has minimal braid index among all closed braid representatives of X. The main result of…
The orbifold Chow ring of toric Deligne-Mumford stacks
Lev A. Borisov, Linda Chen, Gregory G. Smith
Generalizing toric varieties, we introduce toric Deligne-Mumford stacks which correspond to combinatorial data. The main result in this paper is an explicit calculation of the orbi…
Extended Bloch group and the Cheeger-Chern-Simons class
Walter D Neumann
We define an extended Bloch group and show it is naturally isomorphic to H_3(PSL(2,C)^δ;Z). Using the Rogers dilogarithm function this leads to an exact simplicial formula for the…
Equivalent curves in surfaces
Christopher J. Leininger
We consider various equivalence relations on the set of homotopy classes of curves on a hyperbolic surface based on topological, algebraic, and geometric structures. The purpose of…