ar X iv : m at h / 06 01 74 3 v 1 [ m at h . SP ] 3 0 Ja n 20 06 DETERMINANTS OF ZEROTH ORDER OPERATORS

ar X iv : m at h / 06 06 33 9 v 1 [ m at h . SP ] 1 4 Ju n 20 06 Eigenfunction expansions associated with 1 d periodic differential operators of order 2 n

We prove an explicit formula for the spectral expansions in L(R) generated by selfadjoint differential operators (−1) d dx2n + n−1

ar X iv : m at h / 06 01 47 2 v 1 [ m at h . Q A ] 1 9 Ja n 20 06 REPRESENTATIONS OF QUANTUM GROUPS DEFINED OVER COMMUTATIVE RINGS II

In this article we study the structure of highest weight modules for quantum groups defined over a commutative ring with particular emphasis on the structure theory for invariant bilinear forms on these modules.

ar X iv : m at h / 06 11 81 9 v 2 [ m at h . D G ] 1 2 Ja n 20 07 EQUIVARIANT AND FRACTIONAL INDEX OF PROJECTIVE ELLIPTIC OPERATORS

In this note the fractional analytic index, for a projective elliptic operator associated to an Azumaya bundle, of [4] is related to the equivariant index of [1, 5] for an associated transversally elliptic operator.

ar X iv : h ep - t h / 06 12 12 9 v 3 1 1 Ja n 20 07 STRING COSMOLOGY

ar X iv : a st ro - p h / 06 01 33 7 v 1 1 6 Ja n 20 06 A Radio Pulsar Spinning at 716 Hz Jason

X iv :a st ro -p h/ 06 01 33 7v 1 1 6 Ja n 20 06 A Radio Pulsar Spinning at 716 Hz Jason W. T. Hessels, Scott M. Ransom, Ingrid H. Stairs, Paulo C. C. Freire, Victoria M. Kaspi, and Fernando Camilo Department of Physics, McGill University, Montreal, QC H3A 2T8, Canada NRAO, 520 Edgemont Rd., Charlottesville, VA 22903, USA Department of Physics and Astronomy, University of British Columbia, 6224...