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9 papers · 1 filter
Embedded factor patterns for Deodhar elements in Kazhdan-Lusztig theory
Sara C. Billey, Brant C. Jones
The Kazhdan-Lusztig polynomials for finite Weyl groups arise in the geometry of Schubert varieties and representation theory. It was proved very soon after their introduction that…
Global existence of null-form wave equations in exterior domains
Jason Metcalfe, Christopher D. Sogge
We provide a proof of global existence of solutions to quasilinear wave equations satisfying the null condition in certain exterior domains. In particular, our proof does not requi…
Jet-powered optical nebulae from X-ray binaries
David M. Russell, Rob P. Fender, Elena Gallo +2
Accreting black holes and neutron stars release an unknown fraction of the infalling particles and energy in the form of collimated jets. The jets themselves are radiatively ineffi…
The Geometric Weil Representation
Shamgar Gurevich, Ronny Hadani
In this paper we construct a geometric analogue of the Weil representation over a finite field. Our construction is principally invariant, not choosing any specific realization. Th…
Global geometry of planary 3-body motions
Wu-Yi Hsiang, Eldar Straume
In a recent paper (arXiv:math-ph/0609076) the authors investigated the basic global geometry of congruence moduli curves and shape curves of 3-body motions with vanishing angular m…
Global geometry of 3-body motions with vanishing angular momentum, I
Wu-Yi Hsiang, Eldar Straume
Following Jacobi's geometrization of Lagrange's least action principle, trajectories of classical mechanics can be characterized as geodesics on the configuration space M with resp…