We show that the Nielsen-Thurston classification of mapping classes of the sphere with four marked points is determined by the quantum SU(n) representations, for any fixed n â‰¥ 2. In the Pseudo-Anosovâ€¦ (More)

This article is a continuation of the paper [2]. Smooth complex projective 3-folds with nonnegative Kodaira dimension admitting nontrivial surjective endomorphisms are completely determined.â€¦ (More)

We give a geometric construct of a modular functor for any simple Lie-algebra and any level by twisting the constructions in [48] and [51] by a certain fractional power of the abelian theory firstâ€¦ (More)

The present paper is the first in a series of papers, in which we shall construct modular functors and Topological Quantum Field Theories from the conformal field theory developed in [TUY]. The basicâ€¦ (More)

We report a case of autoimmune pancreatitis involving the colonic mucosa. Although serum level of IgG4 was normal, computed tomography and endoscopic retrograde cholangiopancreatography showedâ€¦ (More)

Following [KNTY] we study a so-called bc-ghost system of zero conformal dimension from the viewpoint of [TUY] and [U2]. We show that the ghost vacua construction results in holomorphic line bundlesâ€¦ (More)

Following [KNTY] we study a so-called bc-ghost system of zero conformal dimension from the viewpoint of [TUY] and [U2]. We show that the ghost vacua construction results in holomorphic line bundlesâ€¦ (More)

The characteristics, such as antenna temperature, G/T and EIRP, of active-phased-array antennas with arbitrary elements have been derived by comparison with the directivity of a lossless passiveâ€¦ (More)

Introduction It is well-known that abelian conformal eld theory has rich arithmetic structure (see, for example [DKK], [KSU1], [KSU2], [KUS3]). It is natural to ask whether this is also the case forâ€¦ (More)