Given a compact Riemannian manifold (Md, g), a finite dimensional representation �:�1(M) → GL(V) of the fundamental group �1(M) on a vector space V of dimension l and a Hermitian structure � on the flat vector bundle � → p M associated to �, Ray-Singer [RS] have introduced the analytic torsion T = T(M,�,g,�) > 0. Witten’s deformation dq(t) of the exterior derivative dq, dq(t) = e-htdqeht, with ...

Pneumococcal Disease Streptococcus pneumoniae causes an acute bacterial infection. The bacterium, also called pneumococcus, was first isolated by Pasteur in 1881 from the saliva of a patient with rabies. The association between the pneumococcus bacterium and lobar pneumonia was first described by Friedlander and Talamon in 1883, but pneumococcal pneumonia was confused with other types of pneumo...

References1. Turner LM, Balasubramaniam R. Hersh EV, Stoopler ET. Drug therapy in Alzheimer disease: anupdate for the oral health care provider. Oral Surg Oral Med Oral Pathol Oral Radiol Endod.2008;106:467-476. Abstract 2. Friedlander AH, Norman DC, Mahler ME, Norman KM, Yagiela JA. Alzheimer's disease:psychopathology, medical management and dental implications. J Am Dent Assoc...

We show that Shipley’s “detection functor” for symmetric spectra generalizes to motivic symmetric spectra. As an application, we construct motivic strict ring spectra representing morphic cohomology, semi-topological K-theory, and semitopological cobordism for complex varieties. As a further application to semi-topological cobordism, we show that it is related to semi-topological K-theory via a...

We apply the machinery developed by the first-named author to the K-theory of coherent G-sheaves on a finite type G-scheme X over a field, where G is a finite group. This leads to a definition of G-equivariant higher Chow groups (different from the version constructed by Totaro) and an AtiyahHirzebruch spectral sequence from the G-equivariant higher Chow groups to the higher K-theory of coheren...

In analogy with radiation fields for asymptotically Euclidean manifolds, introduced by F.G. Friedlander, we define radiation fields for asymptotically hyperbolic manifolds. We use them to give a translation representation of the wave group and to obtain the scattering matrix for such manifolds. Furthermore, we prove a support theorem for the radiation fields which generalizes to this setting th...

Given two relatively prime positive integers m < n we consider the smallest positive solution (x0, y0) to the equation mx−ny = 1. E. I. Dinaburg and Y. G. Sinai have used continued fractions to show that the ratios x0/n are uniformly distributed in [0, 1], when n and m run through consequtive integers of intervals of comparable sizes. We use a bound of exponential sums due to W. Duke, J. B. Fri...

We compare various groups of 0-cycles on quasi-projective varieties over a field. As applications, we show that for certain singular projective varieties, the Levine-Weibel Chow group coincides with corresponding Friedlander-Voevodsky motivic cohomology. also an algebraically closed field positive characteristic, modulus smooth variety respect to reduced divisor Suslin homology complement divis...