1 Department of Electrical Engineering, National Cheng Kung University, No. 1 Daxue Road, Tainan 70101, Taiwan 2Department of Computer Science and Information Engineering, National Cheng Kung University, No. 1 Daxue Road, Tainan 70101, Taiwan 3Department of Psychology and Institute of Allied Health Sciences, National Cheng Kung University, No. 1 Daxue Road, Tainan 70101, Taiwan 4 Institute of C...

S CASE REPORT Synchronous subacromial and subdeltoid bursal abscess and pyomyositis of rotator cuff muscles caused by Viridans Streptococcus Sheng-Min Lan∗,§, Cheng-Li Lin∗ , ChienKuo Wang†, Sheng-Pin Lo‡, I-Ming Jou∗ & Wei-Ren Su∗ ∗Department of Orthopedics, National Cheng Kung University Hospital, Tainan, Taiwan †Department of Radiology, National Cheng Kung University Hospital, Tainan, Taiwan...

Although there is no known meaningful notion of the energy density of the gravitational field in general relativity, a few notions of quasi-local energy of gravity associated to extended but finite domains have been proposed. In this paper, the notions of quasi-local energy are studied in the framework of loop quantum gravity, in order to see whether these notions can be carried out at quantum ...

We establish an unexpected relation among the Weil-Petersson metric, the generalized Hodge metrics and the BCOV torsion. Using this relation, we prove that certain kind of moduli spaces of polarized Calabi-Yau manifolds do not admit complete subvarieties. That is, there is no complete family for certain class of polarized Calabi-Yau manifolds. We also give an estimate of the complex Hessian of ...

We study the geometric interpretation of two dimensional rational conformal field theories, corresponding to sigma models on Calabi-Yau manifolds. We perform a detailed study of RCFT’s corresponding to T 2 target and identify the Cardy branes with geometric branes. The T ’s leading to RCFT’s admit “complex multiplication” which characterizes Cardy branes as specific D0-branes. We propose a cond...

It is frequently possible to produce new Calabi–Yau threefolds from old ones by a process of allowing the complex structure to degenerate to a singular one, and then performing a resolution of singularities. (Some care is needed to ensure that the Calabi– Yau condition be preserved.) There has been speculation that all Calabi–Yau threefolds could be linked in this way, and considerable evidence...

We add to the mounting evidence that the topological B model’s normalized holomorphic three-form has integral periods by demonstrating that otherwise the B2-brane partition function is ill-defined. The resulting Calabi-Yau manifolds are roughly fixed points of attractor flows. We propose here that any admissible background for topological strings requires a quantized (twisted) integrable pure s...

Let Σ be a smooth projective complex curve and g a simple Lie algebra of type ADE with associated adjoint group G. For a fixed pair (Σ, g), we construct a family of quasiprojective Calabi-Yau threefolds parameterized by the base of the Hitchin integrable system associated to (Σ, g). Our main result establishes an isomorphism between the Calabi-Yau integrable system, whose fibers are the interme...

Prescribed Gauss-Kronecker curvature problems are widely studied in the literature. Famous among them is the Minkowski problem. It was studied by H. Minkowski, A.D. Alexandrov, H. Lewy, A.V. Pogorelov, L. Nirenberg and at last solved by S.Y. Cheng and S.T. Yau [CY]. After that, V.I.Oliker [O] researched the arbitrary hypersurface with prescribed Gauss curvature in Euclidean space. On the other ...

The modularity of rigid Calabi-Yau threefolds over Q has recently been established for a huge class of manifolds (cf. [DM]). However, the number of explicit examples of modular (rigid and non-rigid) Calabi-Yau threefolds is still quite small (cf. [Y]). As a consequence, only a few primes of bad reduction, combining to the level of the associated newform, have appeared in those examples which ca...