Let Σ be the algebraic universal cover of a closed surface of genus g > 1, T (Σ) its Teichmüller space, M(Σ,ℓ) the group of mapping classes stabilizing a fixed leaf ℓ. The L 1 Ehrenpreis conjecture asserts that M(Σ,ℓ) acts on T (Σ) with dense orbits in the L 1 topology (the topology coming from the L 1 norm on quadratic differentials). We give a proof of this weaker version of the Ehrenpreis co...

Let G be one of the local gauge groups C(X, U(n)), C∞(X, U(n)), C(X, SU(n)) or C∞(X, SU(n)) where X is a compact Riemannian manifold. We observe that G has a nontrivial group topology, coarser than its natural topology, w.r.t. which it is amenable, viz the relative weak topology of C(X, M(n)). This topology seems more useful than other known amenable topologies for G. We construct a simple ferm...

various authors have considered the zero-rest-mass equation and the contour integral representation of its solutions. ferber generalized these equations to supertwistor spaces with 2n odd components so that with n=o we get the standard ungraded twistors of penrose. in this paper we use the batchelor theorem toconstruct the natural super twistor space with coarse topology with underlying standar...

a theoretical density functional theory (dft) study was performed on a series of the neutral n-phenylthiourea substituents (p-oc2h5, p-ch3, m-ch3, h, p-cl, p-br, m-cl, and p-no2) as the sensor of acetate and fluoride anions. the hydrogen bond character was analyzed as a scale of the sensing activity. it was confirmed that hydrogen bond between the p-no2 derivatives of n-phenylthiourea and fluor...

MEMBRANE TOPOLOGY OF MOUSE STEAROYL-COA DESATURASE 1 Weng Chi Man*, Makoto Miyazaki*, Kiki Chu*, and James M. Ntambi* From the Departments of *Biochemistry and ¶Nutritional Sciences, University of Wisconsin-Madison, Madison, WI 53706 Running Title: Mouse SCD1 Topology Address correspondence to: James M. Ntambi, Department of Biochemistry, University of Wisconsin-Madison, 433 Babcock Drive, Madi...

is precompact in the C1,α topology. Here R denotes the Riemann curvature tensor, vol the volume and diam the diameter of (M,g). Thus, for any sequence of metrics gi on n-manifolds Mi satisfying (1.1), there is a subsequence, also called gi, and diffeomorphisms φi : M∞ → Mi such that the metrics φi gi converge in the C 1,α topology to a limit metric g∞ onM∞, for any α < 1. In particular, there a...

Polysurfacic tori or kideas are three-dimensional objects formed by rotating a regular polygon around central axis. These toric shapes referred to as “polysurfacic” because their characteristics, such the number of sides surfaces separated edges, can vary in non-trivial manner depending on degree twisting during revolution. We use term “Kideas” specifically denote these polysurfacic tori, and w...